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Grade 9 Congruence Worksheet

This worksheet focuses on congruence in geometry, covering definitions, properties, and applications to various shapes.

Grade 9 Math GeometryCongruence
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSG.CO.B.7CCSS.MATH.CONTENT.HSG.CO.B.8

Topics

geometrycongruencegrade 9math
7 sections · Free to use · Printable
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Grade 9 Congruence Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

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

a

They have the same shape but different sizes.

b

They have the same size but different shapes.

c

They have the same shape and the same size.

d

They are always equilateral triangles.

2. If two triangles are congruent, then their corresponding angles are:

a

Proportional

b

Equal

c

Complementary

d

Supplementary

3. Two figures are   if they have the same shape and the same size.

4. The symbol for congruence is  .

5. Consider the two triangles below. Are they congruent? Explain your reasoning.

8 cm5 cm5 cm
8 cm5 cm5 cm

6. All squares are congruent.

T

True

F

False

7. If two circles have the same radius, they are congruent.

T

True

F

False

Match the congruence postulate with its description.

8. SSS

 

a. Two angles and the included side are congruent.

9. SAS

 

b. All three sides are congruent.

10. ASA

 

c. Two sides and the included angle are congruent.