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Corresponding Parts in Geometry

Grade 9 worksheet on identifying and using corresponding parts of congruent figures, including triangles and polygons.

Grade 9 Math GeometryCorresponding Parts
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Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.B.7CCSS.MATH.CONTENT.HSG.CO.B.8
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Corresponding Parts in Geometry

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Read each question carefully and follow the instructions to identify corresponding parts of congruent figures.

1. If ΔABC ≅ ΔXYZ, which angle corresponds to ∠B?

a

∠X

b

∠Y

c

∠Z

d

None of the above

2. If polygon ABCD ≅ polygon EFGH, which side corresponds to side CD?

a

EF

b

FG

c

GH

d

HE

3. If two figures are congruent, then their   parts are congruent.

4. The acronym CPCTC stands for          .

5. Given ΔPQR ≅ ΔSTU, name all the pairs of corresponding angles and corresponding sides.

6. Use the diagram below to answer the following questions. Assume the triangles are congruent.

ABCDEF

a) Which angle corresponds to ∠A?

b) Which side corresponds to side BC?

7. If two triangles are congruent, then all their corresponding angles are equal in measure.

T

True

F

False

8. Corresponding sides of congruent figures always have different lengths.

T

True

F

False