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## Texas Go Math Grade 3 Lesson 15.4 Answer Key Identify Congruent Figures

**Unlock the Problem**

Figures that have the same size and the same shape are congruent.

Look at the pattern blocks at the right. Do the shapes appear to be congruent?

**Compare size and shape.**

These pairs of shapes appear to be congruent.

Same size, same shape

These pairs of shapes are not congruent.

The yellow pattern blocks appear to be __________size and _________ shape. So, they are _________.

Answer:

The yellow pattern blocks appear to be same size and same shape. So, they are Congruent

**Activity**

Materials; pattern blocks, paper

Trace pattern blocks to find congruent figures.

STEP 1:

Trace a blue rhombus pattern block in the space below.

STEP 2:

Trace two pattern blocks to make a figure that is congruent to the rhombus.

STEP 3:

Compare the tracings you made.

Are the outlines the same size and shape? ___________

Yes, The outlines are same size and shape

Are the figures you traced congruent? Explain.

Answer:

Yes they are congruent.

**Share and Show**

Question 1.

Which pattern block appears to be congruent to Shape A?

Think: Which pattern block is the same size and shape?

Answer: C

Explanation:

They both are triangles with equal sides

Question 2.

Circle the 2 pattern blocks you can combine to make a figure congruent to the hexagon.

2 rhombuses

2 squares

2 trapezoids

2 triangles

Answer:

Explanation:

2 trapezoids combine to make a figure congruent to the hexagon.

**Math Talk**

**Mathematical Processes**

For Exercise 1, a student said neither shape B or C is congruent to shape A. Explain why the student might think this.

Answer: C is in different direction.

Explanation:

a student said neither shape B or C is congruent to shape A.

The student might think that the B and C are not congruent because C in different direction.

**Look at the first figure. Tell if it appears to be congruent to the second figure. Write yes or no.**

Question 3.

Answer: No

Explanation:

Shapes are same but sizes are different

Question 4.

Answer: Yes

Explanation:

The both figures have same size and shape. so, they are congruent.

**Problem Solving**

Question 5.

**H.O.T. Multi-Step** List all the ways you can use congruent pattern blocks to make the hexagon shown.

Answer:

Explanation:

Above picture shows the ways we can use congruent pattern blocks to make the hexagon

Question 6.

**Write Math What’s the Error?** Isabel says that all squares are congruent. Use Math Language to explain her error.

Answer: No, there must be size differ

Explanation:

Shape the square is common but, the size vary.

Question 7.

**Use Diagrams** List all the pairs of figures that appear to be congruent.

Answer:

W and Z are congruent

V and x are congruent

Explanation:

They have size and shape are equal.

**Daily Assessment Task**

**Fill in the bubble for the correct answer choice.**

Question 8.

Look at the kaleidoscope image and find the figure outlined in red. Which figure below appears to be congruent to it?

(A) K

(B) L

(C) J

(D) M

Answer: B

Explanation:

The image L matches the shape

both are rhombus

Question 9.

**Multi-Step** Israel is making a pattern with quadrilaterals for a wallpaper border. Which figures appear to be congruent?

(A) the two rectangles

(B) the trapezoid and one rectangle

(C) the square and one rectangle

(D) the rhombus and the square

Answer: A

Explanation:

Green and purple rectangles are congruent.

**Texas Test Prep**

Question 10.

Which pattern blocks can you combine to make a shape that is congruent to the shape below?

(A) trapezoid and 2 triangles

(B) trapezoid and rhombus

(C) square and 2 triangles

(D) 2 rhombuses

Answer: C

Explanation:

square and 2 triangles combine to make a shape that is congruent to the given shape

### Texas Go Math Grade 3 Lesson 15.4 Homework and Practice Answer Key

**Look at the first figure. Tell if it appears to be congruent to the second figure. Write yes or no.**

Question 1.

Answer: Yes

Explanation:

The above figures are congruent

they have size and shapes are same

Question 2.

Answer: No

Explanation:

Both the trapezoids are not same

**Problem Solving**

Question 3.

List all the ways you can use congruent pattern blocks to make the figure shown.

Answer:

Explanation:

The ways to make a congruent figure are done

Question 4.

List the pairs of figures that appear to be congruent.

Answer:

C and G are congruent

B and D are Congruent

Explanation:

C and G , B and D have same sizes and same shape

Question 5.

Draw a congruent figure on the dot paper for each figure you did not list in exercise 4.

Answer:

Explanation:

Drawn a congruent figures for the Exercise4 which are not done.

**Lesson Check**

**Fill in the bubble completely to show your answer.**

Question 6.

Ursula drew the congruent figures below. Which 2 pattern blocks can she combine to make a rhombus?

Answer: B

Explanation:

The two triangles makes a rhombus

Question 7.

Albert wants to make a parallelogram. Which figures can he add to the ends of a square to make the shape?

Answer: B

Explanation:

The shapes in B are added to a square to make a parallelogram

Question 8.

Lionel made some cutout shapes. Which figures do NOT appear to be congruent?

Answer: A

Explanation:

Option A have same shape but different size

Question 9.

**Multi-Step** Manny drew the figure shown. What is the least number of pattern blocks he can use to make a congruent figure?

(A) 2

(B) 5

(C) 5

(D) 3

Answer: A

Explanation:

For the above figure only 2 choices are there to make a congruent shapes