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## Go Math Grade 3 Chapter 12 Two-Dimensional Shapes Answer Key

Practice is the perfect key to success and we have provided simple tricks to solve the Problems in Chapter 12 Two Dimensional Shapes. Go Math Grade 3 Answer Key Chapter 12 acts as a one stop destination to enhance your conceptual knowledge. You will know how to solve different Problems in Chapter 12 using the simple approaches by accessing our Go Math Grade 3 Answer Key Chapter 12 Two-Dimensional Shapes.

### Lesson 1: Describe Plane Shapes

### Lesson 2: Describe Angles in Plane Shapes

- Describe Angles in Plane Shapes – Page No. 707
- Describe Angles in Plane Shapes Lesson Check – Page No. 708

### Lesson 3: Identify Polygons

### Chapter: Unlock the Problem – Page No. 715

### Lesson 4: Describe Sides of Polygons

### Mid -Chapter Checkpoint

### Lesson 5: Classify Quadrilaterals

### Lesson 6: Draw Quadrilaterals

### Lesson 7: Describe Triangles

### Lesson 8: Problem Solving Classify Plane Shapes

- Problem Solving Classify Plane Shapes – Page No. 745
- Problem Solving Classify Plane Shapes Lesson Check – Page No. 746

### Lesson 9: Relate Shapes, Fractions, and Area

- Relate Shapes, Fractions, and Area – Page No. 751
- Relate Shapes, Fractions, and Area Lesson Check – Page No. 752

### Review/Test

- Review/Test – Page No. 753
- Review/Test – Page No. 754
- Review/Test – Page No. 755
- Review/Test – Page No. 756
- Review/Test – Page No. 757
- Review/Test – Page No. 758

### Describe Plane Shapes – Page No. 701

**Write how many line segments the shape has.**

Question 1.

4 line segments

Answer:

4 line segments

Explanation:

Question 2.

________ line segments

Answer:

6 line segments

Explanation:

Question 3.

________ line segments

Answer:

8 line segments

Explanation:

Question 4.

________ line segments

Answer:

5 line segments

Explanation:

**Write whether the shape is open or closed.**

Question 5.

________

Answer:

Open

Explanation:

The given shape does not start and ends at the same point. So, the shape is open.

Question 6.

________

Answer:

Closed

Explanation:

The given shape started and ends at the same point. So, the shape is closed.

**Problem Solving**

Question 7.

Carl wants to show a closed shape in his drawing. Show and explain how to make the drawing a closed shape.

Type below:

___________

Answer:

Add a fourth line segment, so the shape starts and ends at the same point.

Explanation:

Add a fourth line segment, so the shape starts and ends at the same point.

Question 8.

The shape of a fish pond at a park is shown below. Is the shape open or closed?

________

Answer:

Closed

Explanation:

The given shape started and ends at the same point. So, the shape is closed.

### Describe Plane Shapes – Page No. 702

**Lesson Check**

Question 1.

How many line segments does this shape have?

Options:

a. 2

b. 3

c. 4

d. 5

Answer:

d. 5

Explanation:

Question 2.

Which of these is part of a line, has one endpoint, and continues in one direction?

Options:

a. ray

b. line

c. line segment

d. point

Answer:

a. ray

Explanation:

The line has one endpoint and continues in one direction is called a ray.

**Spiral Review**

Question 3.

What multiplication sentence does the array show?

Options:

a. 3 × 8 = 24

b. 4 × 8 = 32

c. 8 × 5 = 40

d. 4 × 9 = 36

Answer:

b. 4 × 8 = 32

Explanation:

There are 4 rows and 8 columns available. 4 x 8 = 32 is the answer.

Question 4.

What is the unknown factor and quotient?

9 × ■ = 27

27 ÷ 9 = ■

Options:

a. 3

b. 4

c. 5

d. 6

Answer:

a. 3

Explanation:

9 x 3 = 27.

27 ÷ 9 = 3.

The answer is 3.

Question 5.

Which fraction is equivalent to \(\frac{4}{8}\)?

Options:

a. \(\frac{3}{4}\)

b. \(\frac{1}{2}\)

c. \(\frac{1}{4}\)

d. \(\frac{1}{8}\)

Answer:

b. \(\frac{1}{2}\)

Explanation:

\(\frac{4}{8}\) = b. \(\frac{1}{2}\).

Question 6.

Mr. MacTavish has 30 students from his class going on a field trip to the zoo. He is placing 6 students in each group. How many groups of students from Mr. MacTavish’s class will be going to the zoo?

Options:

a. 5

b. 6

c. 7

d. 36

Answer:

a. 5

Explanation:

1 group = 6 students.

6 x number of groups = 30 students.

6 x s = 30.

s = 30 ÷ 6

s = 5.

5 groups of students from Mr. MacTavish’s class will be going to the zoo.

### Describe Angles in Plane Shapes – Page No. 707

**Use the corner of a sheet of paper to tell whether the angle is a right angle, less than a right angle, or greater than a right angle.**

Question 1.

less than a right angle

Answer:

less than a right angle

Question 2.

________

Answer:

Right Angle:

Question 3.

________

Answer:

Greater than a right angle

**Write how many of each type of angle the shape has.**

Question 4.

________ right

________ less than a right

________ greater than a right

Answer:

4 right

0 less than a right

0 greater than a right

Explanation:

4 right Angles.

0 less than right angles.

0 greater than right angles.

Question 5.

________ right

________ less than a right

________ greater than a right

Answer:

0 right

0 less than a right

5 greater than a right

Explanation:

0 right Angles

0 less than right angles

5 greater than right angles

Question 6.

________ right

________ less than a right

________ greater than a right

Answer:

2 right

0 less than a right

4 greater than a right

Explanation:

2 right angles.

0 less than right angles

4 greater than right angles.

**Problem Solving**

Question 7.

Jeff has a square piece of art paper. He cuts across it from one corner to the opposite corner to make two pieces. What is the total number of sides and angles in both of the new shapes?

________ sides

________ angle

Answer:

The new shape has 6 sides and 6 angles

Explanation:

The new shape has 6 sides and 6 angles

Question 8.

Kaylee tells Aimee that the shape of a stop sign has at least one right angle. Aimee says that there are no right angles. Who is correct? Explain.

________

Answer:

Aimee’s answer is correct

Explanation:

All the angles are greater than a right angle. Aimee’s answer is correct.

### Describe Angles in Plane Shapes – Page No. 708

**Lesson Check**

Question 1.

What describes this angle?

Options:

a. right angle

b. less than a right angle

c. greater than a right angle

d. small angle

Answer:

c. greater than a right angle

Explanation:

The given shape has the greater angle than the right angle. So, the answer is greater than a right angle.

Question 2.

How many right angles does this shape have?

Options:

a. 1

b. 2

c. 3

d. 4

Answer:

c. 3

Explanation:

**Spiral Review**

Question 3.

What fraction of the group is shaded?

Options:

a. \(\frac{5}{6}\)

b. \(\frac{1}{3}\)

c. \(\frac{1}{6}\)

d. \(\frac{1}{8}\)

Answer:

c. \(\frac{1}{6}\)

Explanation:

There are 6 circles. And one circle is shaded out of 6 circles. So, answer is \(\frac{1}{6}\).

Question 4.

Compare.

\(\frac{4}{8}\) _____ \(\frac{3}{8}\)

Options:

a. >

b. <

c. =

d. ÷

Answer:

a. >

Explanation:

Given fractions have the same denominators. So, compare numerators to get the answer.

4 > 3. The answer is \(\frac{4}{8}\) > \(\frac{3}{8}\).

Question 5.

Which of the following does NOT describe a line segment?

Options:

a. does not end

b. is straight

c. is part of a line

d. has 2 endpoints

Answer:

a. does not end

Explanation:

The line segment is a straight line that has two end points. a. does not end not describes a line segment.

Question 6.

How many line segments does this shape have?

Options:

a. 5

b. 6

c. 7

d. 8

Answer:

c. 7

Explanation:

### Identify Polygons – Page No. 713

**Is the shape a polygon? Write yes or no.**

Question 1.

no

Answer:

No

Explanation:

No, The given image doesn’t have line segments.

Question 2.

_____

Answer:

Yes

Explanation:

Yes, A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side.

Question 3.

_____

Answer:

No

Explanation:

No, the given shape is an open shape. It is not a polygon.

Question 4.

_____

Answer:

No

Explanation:

No, it has a curved path. So, the given shape is not a polygon.

**Write the number of sides and the number of angles. Then name the polygon.**

Question 5.

_______ sides

_______ angles

_______

Answer:

6 sides; 6 angles; hexagon

Explanation:

Question 6.

_______ sides

_______ angles

_______

Answer:

4 sides; 4 angles; quadrilateral

Explanation:

**Problem Solving**

Question 7.

Mr. Murphy has an old coin that has ten sides. If its shape is a polygon, how many angles does the old coin have?

_______ angles

Answer:

10 angles

Explanation:

Given that the shape has ten sides. So, the old coin will have 10 angles.

Question 8.

Lin says that an octagon has six sides. Chris says that it has eight sides. Whose statement is correct?

_______ statement

Answer:

Chris’s statement is correct.

Explanation:

Chris’s statement is correct. An octagon has eight sides.

### Identify Polygons – Page No. 714

**Lesson Check**

Question 1.

Which is a name for this polygon?

Options:

a. hexagon

b. octagon

c. quadrilateral

d. pentagon

Answer:

c. quadrilateral

Explanation:

It has 4 sides and 4 angles. The name of the polygon is quadrilateral.

Question 2.

How many sides does this polygon have?

Options:

a. 4

b. 5

c. 6

d. 7

Answer:

c. 6

Explanation:

**Spiral Review**

Question 3.

How many right angles does this shape have?

Options:

a. 4

b. 3

c. 2

d. 0

Answer:

a. 4

Explanation:

Question 4.

Erica has 8 necklaces. One fourth of the necklaces are blue. How many necklaces are blue?

Options:

a. 2

b. 3

c. 4

d. 8

Answer:

a. 2

Explanation:

Erica has 8 necklaces. One-fourth of the necklaces are blue. So, 2 necklaces are blue.

Question 5.

Which of these is straight, is part of a line, and has 2 endpoints?

Options:

a. line

b. line segment

c. point

d. ray

Answer:

b. line segment

Question 6.

What describes this angle?

Options:

a. greater than a right angle

b. large angle

c. less than a right angle

d. right angle

Answer:

c. less than a right angle

### Unlock the Problem – Page No. 715

Question 1.

Look at the polygon. How many pairs of sides are parallel?

________ pair(s)

Answer:

1 pair of sides are parallel

Question 2.

How do you know the shape is a polygon?

Type below:

___________

Answer:

A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side.

Question 3.

Lines that cross or meet are intersecting lines. Intersecting lines form angles.

Answer:

Either less than the right angle or more than the right angle.

Question 4.

The orange and blue line segments meet and form an angle. So, they are __________________

___________

Answer:

Intersecting lines

Question 5.

Intersecting lines that cross or meet to form right angles are perpendicular lines.

Answer:

90 degrees

Question 6.

The red and blue line segments meet to form a right angle. So, they are ________________

___________

Answer:

Perpendicular lines

Question 7.

Lines that never cross or meet and are always the same distance apart are parallel lines. They do not form any angles.

So, the polygon above has _ pair of parallel sides

_________ pair(s)

Answer:

The polygon has 1 pair of parallel sides

Question 8.

The green and blue line segments would never cross or meet. They are always the same distance apart. So, they appear to be _________________

_________

Answer:

Parallel lines

### Describe Sides of Polygons – Page No. 719

**Look at the dashed sides of the polygon. Tell if they appear to be intersecting, perpendicular, or parallel. Write all the words that describe the sides.**

Question 1.

parallel

Answer:

parallel lines

Explanation:

The dashed sides are not intersecting with each other. So, the given lines are parallel lines.

Question 2.

_______

_______

Answer:

perpendicular lines

Explanation:

The dashed sides are meeting to form a right angle. So, they are perpendicular lines.

Question 3.

_______

Answer:

intersecting lines

Explanation:

The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 4.

_______

Answer:

intersecting lines

Explanation:

The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 5.

_______

_______

Answer:

perpendicular lines

Explanation:

The dashed line segments meet to form a right angle. So, they are perpendicular lines.

Question 6.

_______

Answer:

parallel lines

Explanation:

The dashed line segments would never cross or meet. They are always the same distance apart. So, they are parallel lines.

Question 7.

_______

Answer:

parallel lines

Explanation:

The dashed line segments would never cross or meet. They are always the same distance apart. So, they are parallel lines.

Question 8.

_______

Answer:

intersecting lines

Explanation:

The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 9.

_______

_______

Answer:

perpendicular lines

Explanation:

The dashed line segments meet to form a right angle. So, they are perpendicular lines.

**Problem Solving**

**Use shapes A–D for 10–11.**

Question 10.

Which shapes appear to have parallel sides?

_______ ; _______ ; _______

Answer:

A, C, D

Explanation:

A, C, D have lines that appear to never meet and are always the same distance apart. So, they have parallel lines.

Question 11.

Which shapes appear to have perpendicular sides?

_______ ; _______

Answer:

B, C

Explanation:

B, C have lines that meet to form right angles. So, they have perpendicular sides.

### Describe Sides of Polygons – Page No. 720

**Lesson Check**

Question 1.

How many pairs of parallel sides does the quadrilateral appear to have?

Options:

a. 1

b. 2

c. 3

d. 4

Answer:

b. 2

Explanation:

Side a and a are one pair of parallel lines.

Side b and b are one pair of parallel lines.

The quadrilateral has 2 pairs of parallel sides.

Question 2.

Which sides appear to be parallel?

Options:

a. a and c only

b. b and d only

c. a and b, c and d

d. a and c, b and d

Answer:

d. a and c, b and d

Explanation:

a and c are parallel lines. They appear to never meet and are always the same distance apart. They do not form any angles.

Similarly, b and d are parallel lines.

**Spiral Review**

Question 3.

Mr. Lance designed a class banner shaped like the polygon shown. What is the name of the polygon?

Options:

a. pentagon

b. octagon

c. hexagon

d. decagon

Answer:

a. pentagon

Explanation:

The polygon has 5 sides and 5 angles. So, the given polygon is a pentagon.

Question 4.

How many angles greater than a right angle does this shape have?

Options:

a. 0

b. 1

c. 2

d. 3

Answer:

b. 1

Explanation:

One angle is greater than the right angles.

Question 5.

How many line segments does this shape have?

Options:

a. 6

b. 7

c. 8

d. 9

Answer:

c. 8

Explanation:

The given shape has 8 line segments.

Question 6.

Which fraction names the shaded part?

Options:

a. \(\frac{1}{3}\)

b. \(\frac{1}{4}\)

c. \(\frac{1}{6}\)

d. \(\frac{5}{6}\)

Answer:

c. \(\frac{1}{6}\)

Explanation:

The given image has 6 parts. 1 part is shaded out of 1 part. The answer is \(\frac{1}{6}\)

### Mid -Chapter Checkpoint – Page No. 721

**Vocabulary**

**Choose the best term from the box to complete the sentence.**

Question 1.

An __________ is formed by two rays that share an endpoint.

__________

Answer:

Angle

Explanation:

Question 2.

A _____________ is a closed plane shape made up of line segments.

________

Answer:

Polygon

Question 3.

A ____________ forms a square corner.

________

Answer:

__Right Angle__

**Concepts and Skills**

**Use the corner of a sheet of paper to tell whether the angle is a**

**right angle, less than a right angle, or greater than a right angle.**

Question 4.

________

Answer:

less than a right angle

Question 5.

________

Answer:

right angle

Question 6.

________

Answer:

greater than a right angle

**Write the number of sides and the number of angles.**

**Then name the polygon.**

Question 7.

________ sides

________ angles

________

Answer:

6 sides; 6 angles

Explanation:

6 sides; 6 angles

Question 8.

________ sides

________ angles

________

Answer:

4 sides; 4 angles

Explanation:

4 sides; 4 angles

Question 9.

________ sides

________ angles

________

Answer:

5 sides; 5 angles

Explanation:

5 sides; 5 angles

### Mid -Chapter Checkpoint – Page No. 722

Question 10.

Anne drew the shape at the right. Is her shape an open shape or a closed shape?

________

Answer:

Closed Shape

Explanation:

The given shape started and ends at the same point. So, the shape is closed.

Question 11.

This sign tells drivers there is a steep hill ahead. Write the number of sides and the number of angles in the shape of the sign. Then name the shape.

________ sides

________ angles

________

Answer:

4 sides; 4 angles

Explanation:

4 sides; 4 angles

Question 12.

Why is this closed plane shape NOT a polygon?

Type below:

________

Answer:

2 × 5 = 10

Explanation:

The given shape started and ends at the same point. So, the shape is closed. A polygon is made up of line segments that meet only at their endpoints. So, the given shape is not a polygon.

Question 13.

Sean drew a shape with 2 fewer sides than an octagon. Which shape did he draw?

________

Answer:

pentagon

Explanation:

octagon has 8 sides.

2 + 8 = 10 sides

Question 14.

John drew a polygon with two line segments that meet to form a right angle. Circle the words that describe the line segments.

Type below:

________

Answer:

perpendicular

### Classify Quadrilaterals – Page No. 727

**Click all the words that describe the quadrilateral.**

Question 1.

Answer:

Square; Rectangle; Rhombus

Question 2.

Options:

a. square

b. rectangle

c. rhombus

d. trapezoid

Answer:

b. rectangle

Explanation:

The given shape has two pairs opposite with the same length. Also, all the angles are right angles. The given shape is a rectangle.

Question 3.

Options:

a. square

b. rectangle

c. rhombus

d. trapezoid

Answer:

d. trapezoid

Explanation:

Even though the given shape has four sides, they are not equal. Also, it has only two right angles. The given shape is a trapezoid.

**Use the quadrilaterals below for 4–6.**

Question 4.

Which quadrilaterals appear to have no right angles?

______ ; ______ ; ______

Answer:

B, D, and E

Explanation:

B, D, E don’t have right angles.

Question 5.

Which quadrilaterals appear to have 4 right angles?

______ ; ______

Answer:

A and C

Explanation:

A and C both shapes have right angles.

Question 6.

Which quadrilaterals appear to have 4 sides of equal length?

______ ; ______ ; ______

Answer:

B, C, and D

Explanation:

The B, C, and D have all the equal lengths.

**Problem Solving**

Question 7.

A picture on the wall in Jeremy’s classroom has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel. What quadrilateral best describes the picture?

_______

Answer:

Square

Explanation:

A square has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel.

Question 8.

Sofia has a plate that has 4 sides of equal length, 2 pairs of opposite sides that are parallel, and no right angles. What quadrilateral best describes the plate?

_________

Answer:

rhombus

Explanation:

A rhombus has 4 sides of equal length, 2 pairs of opposite sides that are parallel, and no right angles.

### Classify Quadrilaterals – Page No. 728

**Lesson Check**

Question 1.

Which word describes the quadrilateral?

Options:

a. square

b. trapezoid

c. rhombus

d. rectangle

Answer:

b. trapezoid

Explanation:

The given quadrilateral doesn’t have right angles. So, it is not a square and a rectangle. Also, the quadrilateral doesn’t have equal sides. So, it is not a rhombus.

Question 2.

Which quadrilaterals appear to have 2 pairs of opposite sides that are parallel?

Options:

a. A and B

b. A, B, and C

c. A only

d. B only

Answer:

a. A and B

Explanation:

The A and B shapes have 2 pairs of opposite sides that are parallel.

**Spiral Review**

Question 3.

Aiden drew the polygon shown. What is the name of the polygon he drew?

Options:

a. decagon

b. hexagon

c. octagon

d. pentagon

Answer:

a. decagon

Explanation:

10 sides; 10 angles

Question 4.

How many pairs of parallel sides does this shape appear to have?

Options:

a. 4

b. 2

c. 1

d. 0

Answer:

b. 2

Explanation:

Side a and a are one pair of parallel lines.

Side b and b are one pair of parallel lines.

The quadrilateral has 2 pairs of parallel sides.

Question 5.

What word describes the dashed sides of the shape shown?

Options:

a. intersecting

b. parallel

c. perpendicular

d. right

Answer:

b. parallel

Explanation:

The dashed sides of the shape would never cross or meet. They are always the same distance apart. So, they appear to be parallel lines.

Question 6.

How many right angles does this shape have?

Options:

a. 0

b. 1

c. 2

d. 3

Answer:

a. 0

Explanation:

There are no right angles available for the given shape.

### Draw Quadrilaterals – Page No. 733

**Draw a quadrilateral that is described.**

**Name the quadrilateral you drew.**

Question 1.

4 sides of equal length

Answer:

square

Explanation:

A square has four equal sides and four equal angles

Question 2.

1 pair of opposite sides that are parallel

_________

Answer:

trapezoid

Explanation:

trapezoid

**Draw a quadrilateral that does not belong.**

**Then explain why.**

Question 3.

Answer:

Explanation:

The shape is a trapezoid. It has only 1 pair of opposite sides that are parallel. The 3 quadrilaterals shown have 2 pairs of sides that are parallel.

**Problem Solving**

Question 4.

Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides that are parallel. Name the quadrilateral she could have drawn.

_________

Answer:

square or rectangle

Explanation:

The square or rectangle has 4 right angles and 2 pairs of opposite sides that are parallel.

Question 5.

Victor drew a quadrilateral with no right angles and 4 sides of equal length. What quadrilateral could Victor have drawn?

_________

Answer:

rhombus.

Explanation:

A rhombus has no right angles and 4 sides of equal length.

### Draw Quadrilaterals – Page No. 734

**Lesson Check**

Question 1.

Chloe drew a quadrilateral with 2 pairs of opposite sides that are parallel. Which shape could NOT be Chloe’s quadrilateral?

Options:

a. rectangle

b. rhombus

c. square

d. trapezoid

Answer:

d. trapezoid

Explanation:

A trapezoid will have only one pair of parallel lines.

Question 2.

Mike drew a quadrilateral with four right angles. Which shape could he have drawn?

Options:

a. rectangle

b. hexagon

c. trapezoid

d. triangle

Answer:

a. rectangle

Explanation:

A rectangle will have four right angles.

**Spiral Review**

Question 3.

A quadrilateral has 4 right angles and 4 sides of equal length. What is the name of the quadrilateral?

Options:

a. pentagon

b. square

c. trapezoid

d. hexagon

Answer:

b. square

Explanation:

A square has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel.

Question 4.

Mark drew two lines that form a right angle. Which word describes the lines Mark drew?

Options:

a. perpendicular

b. parallel

c. acute

d. obtuse

Answer:

a. perpendicular

Explanation:

Intersecting lines that cross or meet to form right angles are perpendicular lines.

Question 5.

Dennis drew the rectangle on grid paper. What is the perimeter of the rectangle Dennis drew?

Options:

a. 7 units

b. 12 units

c. 14 units

d. 15 units

Answer:

b. 12 units

Explanation:

3 + 3 + 3 + 3 = 12 units.

Question 6.

Jill drew the rectangle on grid paper. What is the area of the rectangle Jill drew?

Options:

a. 12 square units

b. 15 square units

c. 16 square units

d. 18 square units

Answer:

b. 15 square units

Explanation:

5 x 3 = 15 square units.

### Describe Triangles – Page No. 739

**Use the triangles for 1–3. Write A, B, or C.**

**Then complete the sentences.**

Question 1.

Triangle B has 3 angles less than a right angle and

appears to have 3 sides of equal length.

Answer:

B

Question 2.

Triangle _________ has 1 right angle and appears to have

_________ sides of equal length.

Answer:

Triangle **C** has 1 right angle and appears to have **0** sides of equal length.

Question 3.

Triangle _________ has 1 angle greater than a right angle and appears to have

_________ sides of equal length.

Answer:

Triangle **A **has 1 angle greater than a right angle and appears to have **2** sides of equal length.

Question 4.

Kyle, Kathy, and Kelly each drew a triangle. Who drew the triangle that has 1 angle greater than a right angle and appears to have no sides of equal length?

_________

Answer:

Kathy

Explanation:

Kathy triangle has 1 angle greater than a right angle and has no sides of equal length.

**Problem Solving**

Question 5.

Matthew drew the back of his tent. How many sides appear to be of equal length?

_________ sides

Answer:

2 sides

Explanation:

a and b are 2 sides have equal lengths.

Question 6.

Sierra made the triangular picture frame shown. How many angles are greater than a right angle?

_________

Answer:

__0__

Explanation:

0 angles are greater than a right angle.

### Describe Triangles – Page No. 740

**Lesson Check**

Question 1.

How many angles less than a right angle does this triangle have?

Options:

a. 0

b. 1

c. 2

d. 3

Answer:

d. 3

Explanation:

3 angles less than a right angle.

Question 2.

How many sides of equal length does this triangle appear to have?

Options:

a. 0

b. 1

c. 2

d. 3

Answer:

c. 2

Explanation:

The two lines forming the right angle are equal in length.

**Spiral Review**

Question 3.

A quadrilateral has 4 right angles and 2 pairs of opposite sides that are parallel. Which quadrilateral could it be?

Options:

a. trapezoid

b. hexagon

c. triangle

d. rectangle

Answer:

d. rectangle

Explanation:

A rectangle has 4 right angles and 2 pairs of opposite sides that are parallel.

Question 4.

Mason drew a quadrilateral with only one pair of opposite sides that are parallel. Which quadrilateral did Mason draw?

Options:

a. square

b. rhombus

c. trapezoid

d. rectangle

Answer:

c. trapezoid

Explanation:

A trapezoid will have only one pair of opposite sides that are parallel.

Question 5.

Which shape has an area of 8 square units and a perimeter of 12 units?

Options:

a.

b.

c.

d.

Answer:

a

Explanation:

a. Area = 2 x 4 = 8 square units; Perimeter = 2 + 4 + 2 + 4 = 12 units.

Question 6.

What fraction of the square is shaded?

Options:

a. \(\frac{3}{5}\)

b. \(\frac{5}{3}\)

c. \(\frac{3}{8}\)

d. \(\frac{8}{5}\)

Answer:

c. \(\frac{3}{8}\)

Explanation:

The image has 8 parts. 3 parts are shaded out of 8 parts. So, \(\frac{3}{8}\) is the answer.

### Problem Solving Classify Plane Shapes – Page No. 745

**Solve each problem.**

Question 1.

Steve drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Answer:

Question 2.

Janice drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Answer:

Question 3.

Beth drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Answer:

### Problem Solving Classify Plane Shapes – Page No. 746

**Lesson Check**

Question 1.

Which shape would go in the section where the two circles overlap?

Options:

a. triangle

b. trapezoid

c. square

d. hexagon

Answer:

c. square

Explanation:

A square is a rectangle with equal lengths of all sides.

Question 2.

Which shape could NOT go in the circle labeled All Sides of Equal Length?

Options:

a. rhombus

b. trapezoid

c. square

d. triangle

Answer:

b. trapezoid

Explanation:

A trapezoid will not have All Sides of Equal Length.

**Spiral Review**

Question 3.

How many angles greater than a right angle does this triangle have?

Options:

a. 0

b. 1

c. 2

d. 3

Answer:

b. 1

Explanation:

1 angle is greater than a right angle.

Question 4.

How many sides of equal length does this triangle appear to have?

Options:

a. 0

b. 1

c. 2

d. 3

Answer:

d. 3

Explanation:

The triangle appears to have 3 sides of equal length.

Question 5.

Madison drew this shape. How many angles less than a right angle does it have?

Options:

a. 0

b. 1

c. 3

d. 5

Answer:

a. 0

Explanation:

0

Question 6.

How many dots are in \(\frac{1}{2}\) of this group?

Options:

a. 6

b. 8

c. 9

d. 18

Answer:

c. 9

Explanation:

9 dots are in \(\frac{1}{2}\) of this group.

### Relate Shapes, Fractions, and Area – Page No. 751

**Draw lines to divide the shape into equal parts that show the fraction given.**

Question 1.

\(\frac{1}{3}\)

Answer:

\(\frac{1}{3}\)

Question 2.

\(\frac{1}{8}\)

Answer:

Question 3.

\(\frac{1}{2}\)

Answer:

**Draw lines to divide the shape into parts with equal area. Write the area of each part as a unit fraction.**

Question 4.

4 equal parts

\(\frac{□}{□}\)

Answer:

\(\frac{1}{4}\)

Question 5.

6 equal parts

\(\frac{□}{□}\)

Answer:

\(\frac{1}{6}\)

Question 6.

3 equal parts

\(\frac{□}{□}\)

Answer:

\(\frac{1}{3}\)

**Problem Solving**

Question 7.

Robert divided a hexagon into 3 equal parts. Show how he might have divided the hexagon. Write the fraction that names each part of the whole you divided.

\(\frac{□}{□}\)

Answer:

\(\frac{1}{3}\)

Question 8.

Show how you might divide the shape into 8 equal parts. What fraction names the area of each part of the divided shape?

\(\frac{□}{□}\)

Answer:

\(\frac{1}{8}\)

### Relate Shapes, Fractions, and Area – Page No. 752

**Lesson Check**

Question 1.

What fraction names each part of the divided whole?

Options:

a. \(\frac{1}{2}\)

b. \(\frac{1}{3}\)

c. \(\frac{1}{4}\)

d. \(\frac{1}{6}\)

Answer:

b. \(\frac{1}{3}\)

Explanation:

The shape has 3 parts. One part is shaded out of 3.

Question 2.

What fraction names the whole area that was divided?

Options:

a. \(\frac{1}{8}\)

b. \(\frac{1}{2}\)

c. \(\frac{8}{8}\)

d. \(\frac{8}{1}\)

Answer:

c. \(\frac{8}{8}\)

Explanation:

8 parts are shaded out of 8 parts. So, \(\frac{8}{8}\) is the answer.

**Spiral Review**

Question 3.

Lil drew the figure below. Which word does NOT describe the shape?

Options:

a. plane shape

b. closed shape

c. open shape

d. curved path

Answer:

c. open shape

Explanation:

The given shape is started and ended at the same point. So, it is not an open shape.

Question 4.

How many line segments does this shape have?

Options:

a. 6

b. 5

c. 4

d. 3

Answer:

b. 5

Explanation:

5

**Use the Venn diagram for 5–6.**

Question 5.

Which shape would go in the section where the two circles overlap?

Options:

a. triangle

b. square

c. trapezoid

d. pentagon

Answer:

b. square

Explanation:

A square have right angles and all sides with equal lengths.

Question 6.

Which shape could NOT go in the circle labeled All Sides of Equal Length?

Options:

a. square

b. rhombus

c. triangle

d. rectangle

Answer:

d. rectangle

Explanation:

A rectangle doesn’t have All Sides of Equal Length.

### Review/Test – Page No. 753

Question 1.

Which words describe this shape? Mark all that apply.

Options:

a. polygon

b. open shape

c. pentagon

d. quadrilateral

Answer:

a. polygon

c. pentagon

Explanation:

A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side. So, the shape is a polygon. Also, the shape has five sides and five angles. So, it is a pentagon.

Question 2.

Umberto drew one side of a quadrilateral with 4 equal sides and no right angles. Draw the other 3 sides to complete Umberto’s shape.

Type below:

____________

Answer:

Question 3.

Mikael saw a painting that included this shape.

For numbers 3a–3d, select True or False for each statement about the shape.

a. The shape has no right angles.

i. True

ii. False

Answer:

ii. False

Question 3.

b. The shape has 2 angles greater than a right angle.

i. True

ii. False

Answer:

ii. False

Question 3.

c. The shape has 2 right angles.

i. True

ii. False

Answer:

i. True

Question 3.

d. The shape has 1 angle greater than a right angle.

i. True

ii. False

Answer:

i. True

### Review/Test – Page No. 754

Question 4.

Fran used a Venn Diagram to sort shapes.

Part A

Draw another plane shape that belongs inside the left circle of the diagram but NOT in the section where the circles overlap.

Type below:

____________

Answer:

Question 4.

Part B

How can you describe the shapes in the section where the circles overlap?

Type below:

____________

Answer:

The shapes in the circle overlap are polygons with right angles. Also, those shapes have 4 sides and 4 angles named as quadrilaterals.

Question 5.

Match each object in the left column with its name in the right column.

Type below:

____________

Answer:

Question 6.

Describe the angles and sides of this triangle.

Type below:

____________

Answer:

The triangle has 3 sides of equal length. Also, the triangle has 3 angles with less than a right angle.

### Review/Test – Page No. 755

Question 7.

Which words describe this shape. Mark all that apply.

Options:

a. rectangle

b. rhombus

c. quadrilateral

d. square

Answer:

a. rectangle

c. quadrilateral

d. square

Explanation:

The given shape is a square or rectangle with 4 sides and 4 angles.

Question 8.

Divide each shape into the number of equal parts shown. Then write the fraction that describes each part of the whole.

Type below:

____________

Answer:

\(\frac{1}{3}\)

\(\frac{1}{6}\)

\(\frac{1}{8}\)

Explanation:

\(\frac{1}{3}\)

\(\frac{1}{6}\)

\(\frac{1}{8}\)

Question 9.

Han drew a triangle with 1 angle greater than a right angle.

For numbers 9a–9d, choose Yes or No to tell whether the triangle could be the triangle Han drew.

a.

i. yes

ii. no

Answer:

ii. no

Explanation:

It has all the angles less than a right angle.

Question 9.

b.

i. yes

ii. no

Answer:

ii. no

Explanation:

It has one right angle and two angles with less than a right angle.

Question 9.

c.

i. yes

ii. no

Answer:

i. yes

Explanation:

It has one angle greater than a right angle

Question 9.

d.

i. yes

ii. no

Answer:

i. yes

Explanation:

It has one angle greater than a right angle

### Review/Test – Page No. 756

Question 10.

Look at this group of pattern blocks.

Part A

Sort the pattern blocks by sides. How many groups did you make? Explain how you sorted the shapes.

Type below:

____________

Answer:

A has 6 sides 6 angles = hexagon.

B has 4 sides 4 angles = quadrilateral

C has 4 sides 4 angles = quadrilateral

D has 3 sides 3 angles = triangle

E has 4 sides 4 angles = quadrilateral

F has 4 sides 4 angles = quadrilateral

1 triangle, 4 quadrilateral, and 1 hexagon blocks available.

Question 10.

Part B

Sort the pattern blocks by angles. How many groups did you make? Explain how you sorted the shapes.

Type below:

____________

Answer:

A and F have greater than a right angle.

B has 4 right angles.

C, D, and E have all the angles less than a right angle.

Question 11.

Teresa drew a quadrilateral that had 4 sides of equal length and no right angles. What quadrilateral did she draw?

____________

Answer:

rhombus

### Review/Test – Page No. 757

Question 12.

Rhea used a Venn diagram to sort shapes. What label could she use for circle A?

Type below:

____________

Answer:

Right Angle

Question 13.

Colette drew lines to divide a rectangle into equal parts that each represent \(\frac{1}{6}\) of the whole area. Her first line is shown. Draw lines to complete Colette’s model.

Type below:

____________

Answer:

Question 14.

Brad drew a quadrilateral. Select the pairs of sides that appear to be parallel. Mark all that apply.

Options:

a. a and b

b. b and d

c. c and a

d. d and c

Answer:

b. b and d

c. c and a

### Review/Test – Page No. 758

Question 15.

Give two reasons that this shape is not a polygon.

Type below:

____________

Answer:

1. The shape is not a closed shape.

2. The shape has no line segments.

Question 16.

A triangle has 1 angle greater than a right angle. What must be true about the other angles? Mark all that apply.

Options:

a. At least one must be less than a right angle.

b. One could be a right angle.

c. Both must be less than a right angle.

d. One must be greater than a right angle.

Answer:

c. Both must be less than a right angle.

Question 17.

Ava drew a quadrilateral with 2 pairs of opposite sides that are parallel. The shape has at least 2 right angles. Draw a shape that Ava could have drawn.

Type below:

____________

Answer:

Question 18.

For 18a–18d, select True or False for each description of a ray.

a. straight

i. True

ii. False

Answer:

i. True

Question 18.

b. has 2 endpoints

i. True

ii. False

Answer:

ii. False

Question 18.

c. part of a line

i. True

ii. False

Answer:

i. True

Question 18.

d. continues in 1 direction

i. True

ii. False

Answer:

i. True

### Conclusion

Go Math Grade 3 Answer Key Chapter 12 Two-Dimensional Shapes makes it easy for you to get a grip on the subjects. Refer to the HMH Go Math Grade 3 Answer Key for quick reference and resolve your queries. Get Go Math Grade 3 Answer Key Chapter 12 Two-Dimensional Shapes Extra Practice and test your knowledge on the Chapter.