Congruence Worksheet
A Grade 10 math worksheet focusing on the concept of congruence in geometry, including congruent triangles, transformations, and proofs.
Includes
Standards
Topics
Congruence in Geometry
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following transformations preserves congruence?
Dilation
Stretch
Rotation
All of the above
2. If two triangles are congruent, their corresponding angles are:
Proportional
Equal
Complementary
Supplementary
3. Two geometric figures are if they have the same size and shape.
4. The abbreviation for Side-Angle-Side congruence is .
5. Consider the two triangles below. Determine if they are congruent. If so, state the congruence postulate (SSS, SAS, ASA, AAS, HL) and write a congruence statement.
Congruent?
Postulate:
Congruence Statement:
6. Given that ΔXYZ ≅ ΔRST, list all pairs of congruent corresponding parts.
7. All squares are congruent.
True
False
8. If two triangles have three pairs of congruent angles, they are congruent.
True
False
Match each congruence postulate with its description.
9. SSS
a. Two angles and the included side are congruent.
10. SAS
b. All three sides are congruent.
11. ASA
c. Two sides and the included angle are congruent.
12. Write a two-column proof to prove that ΔABC ≅ ΔDEF given the following information:
Given: AB ≅ DE, ∠A ≅ ∠D, AC ≅ DF