Grade 12 Math: Congruence Worksheet
A worksheet for Grade 12 students focusing on congruence in geometry, including definitions, properties, and proofs.
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Grade 12 Math: Congruence
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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 statements is true about congruent figures?
They have the same shape but different sizes.
They have the same size but different shapes.
They have the same shape and the same size.
They are always reflections of each other.
2. If two triangles are congruent by SSS, what does this mean?
All three angles are congruent.
All three sides are congruent.
Two sides and the included angle are congruent.
Two angles and a non-included side are congruent.
3. The symbol for congruence is .
4. If two figures are congruent, then all their corresponding and corresponding are congruent.
5. All squares are congruent.
True
False
6. A rigid motion preserves both shape and size.
True
False
7. Given the triangles below, state the congruence postulate (SSS, SAS, ASA, AAS, HL) that proves △ABC ≅ △DEF. Explain your reasoning.
8. Describe the difference between congruence and similarity.
Match the congruence postulate with its description.
9. SAS
a. Two angles and the included side are congruent.
10. ASA
b. All three sides are congruent.
11. SSS
c. Two sides and the included angle are congruent.
12. Given: AD ≅ CD and AB ≅ CB. Prove: △ABD ≅ △CBD.