Review of Triangle Congruency - Page 1 Name______
1. While proving that is congruent to in the figure below, Gloria wants to use
the Reflexive Property. Which of the following would be a proper use of the reflexive
property for the figure?
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2. Fill in the blank - If , then
A)
B)
C)
D)
E)None of the above
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3. Troy wishes to prove that the two triangles below are congruent by “HL”. What other
piece of information does he require in order to do so?
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4. Is it possible to prove the two triangles below are congruent? If so, state the postulate or
theorem used to prove congruency.
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5. Which of the following cannot be used to prove that two triangles are congruent?
A)AAA
B)SSA
C)AAS
D)Both A and B
E)All can be used to prove congruency.
6. Suppose one wants to prove that the two triangles below are congruent by “AAS”. What
other information is needed in order to use “AAS”.
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7. Complete the triangle congruence statement based on the figure below: _____.
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8. By what postulate or theorem are the two triangles congruent?
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9. If is perpendicular to, then the quickest and most efficient way to prove that would be to use which theorem or postulate?
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10. Fill in the blank: If , then
A)
B)
C)
D)
E)There is not enough information.
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11. By what theorem must be congruent to in the diagram below?
Review of Triangle Congruency - Page 2 Name______
12. Jimmy wishes to prove that is congruent to by using “ASA”. If he knows
that , and , what other piece of information does he need?
A)
B)
C)
D)
E)
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13. Suppose that and in the figure below. Is it possible to prove that is congruent to ? If so, state the postulate or theorem used to prove congruency.
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14. If it is already known that the two triangles pictured below are congruent, then complete the following statement: .
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15. Is it possible to prove that and below are congruent? If so, state the theorem or postulate used to prove congruency.
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For Questions 16-21, give the theorem by which it would be best to prove the triangles congruent if one uses the markings on the figure. If there is not enough information, write NEI.
16. 17. 18.
19. 20. 21.
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For Questions 22-25, markings have been made on the figure to show congruency. Suppose one wants to prove that the two triangles are congruent by the indicated theorem. Write a congruency statement for what else must be true in order to prove the triangles are congruent by the given theorem. Here is an example of a possible answer: .
22. Theorem - SAS 23. Theorem - ASA
24. Theorem - HL 25. Theorem - AAS
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1. A 2. C 3. B 4. E 5. D 6. E 7. C 8. E 9. A 10. B 11. B 12. D 13. C
14. C 15. D 16. SSS 17. NEI 18. LL 19. NEI 20. AAS
21. ASA 22. 23. 24.
25.