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Corresponding Parts of Congruent Figures

This worksheet helps Grade 7 students identify and understand corresponding parts of congruent figures, including angles and sides.

Grade 7 Math GeometryCorresponding Parts
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2 Short AnswerFill in the BlanksMultiple ChoiceCustom

Standards

CCSS.MATH.CONTENT.8.G.A.2

Topics

mathgeometrycorresponding partscongruent figuresgrade 7
7 sections · Free to use · Printable
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Corresponding Parts of Congruent Figures

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Read each question carefully and provide your answer in the space provided. Remember that corresponding parts of congruent figures are equal in measure.

1. Triangles ABC and DEF are congruent. If ∠A = 40°, what is the measure of ∠D?

2. Quadrilateral PQRS is congruent to quadrilateral WXYZ. If ∠Q = 95°, what is the measure of ∠X?

3. Triangles GHI and JKL are congruent. If side GH = 8 cm, what is the length of side JK?

4. Pentagon ABCDE is congruent to pentagon FGHJI. If side BC = 12 meters, what is the length of side GH?

5. If two figures are congruent, then their corresponding angles are  .

6. If two figures are congruent, then their corresponding sides are  .

7. The symbol used to denote congruence is  .

8. Which of the following statements is true about congruent figures?

a

Their shapes are different.

b

Their sizes are different.

c

Their corresponding parts are equal.

d

They are always reflections of each other.

9. Observe the two triangles below. If ΔXYZ ≅ ΔRST, identify the corresponding parts.

XYZRST

Corresponding Angles:

Corresponding Sides: