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Geometry Review Questions for Triangles

Practice classifying and finding measures of angles in triangles, identifying congruent triangles, and applying postulates and theorems for triangle congruence.

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Geometry Review Questions for Triangles

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  1. Concepts 21 – 23 Review

  2. ___ ___ 2. Find y if ΔRST is an isosceles triangle withRS  RT. 1. Classify ΔRST . A. Acute B. Equiangular C. Obtuse D. Right A. 8 B.10 C. 12 D. 14

  3. 3. Find x if ΔABC is an equilateral triangle. A. 2 B. 4 C. 6 D. 8 4. A.ΔABC B.ΔACB C.ΔADC D.ΔCAB

  4. 5. Classify ΔMNO as scalene, isosceles, or equilateral if MN = 12, NO = 9, and MO = 15. A. scalene B. isosceles C. equilateral 6. Which is not a classification for ΔFGH? A. Acute B. Scalene C. Isosceles D. Equiangular

  5. 7. Find m1. 8. Find m2. 9. Find m3. 10. Find m4. 11. Find m5.

  6. 12. One angle in an isosceles triangle has a measure of 80°. What is the measure of one of the other two angles? A. 35 B. 40 C. 50 D. 100

  7. ___ ___ ___ ___ ___ ___ A.LM  RT, LN  RS, NM  ST B.LM  RT, LN  LR, LM  LS C.LM  ST, LN  RT, NM  RS D.LM  LN, RT  RS, MN  ST ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ 13. Write a congruence statement for the triangles. A.ΔLMN ΔRTS B.ΔLMN ΔSTR C.ΔLMN  ΔRST D.ΔLMN  ΔTRS 14. Name the corresponding congruent sides for the congruent triangles.

  8. 15. Refer to the figure. Find x. 16. Refer to the figure.Find m A.

  9. A. A  E B. C  D C.AB  DE D.BC  FD ___ ___ ___ ___ 17. Given that ΔABC ΔDEF, which of the following statements is true?

  10. 18. Find m∠1. A. 40 B. 140 C. 150 D. 60

  11. Prove: ΔLMNΔPON

  12. Statements Reasons 1. Given 1. 2._________________ 2. 3.Q  O, NPQ  PNO 3. Given 4. _________________ 4.QNP  ONP 5.ΔQNPΔOPN 5. Definition of Congruent Polygons Prove:ΔQNPΔOPN

  13. Concepts 24-26 Review

  14. A. A  E B. C  D C.AB  DE D.BC  FD ___ ___ ___ ___ 17. Given that ΔABC ΔDEF, which of the following statements is true?

  15. 18. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A.SSS B. ASA C.SAS D. not possible 19. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A.SSS B. ASA C.SAS D. not possible

  16. 20. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A.SAS B. AAS C.SSS D. not possible 21. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A.SSA B. ASA C.SSS D. not possible

  17. A. B. C. D. 22. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A.AAA B. SAS C.SSS D. not possible 23. Given A  R, what sides must you know to be congruent to prove ΔABC  ΔRST by SAS?

  18. 24. Refer to the figure. Complete the congruence statement.ΔWXY  Δ_____ by ASA. ? A.ΔVXY B.ΔVZY C.ΔWYX D.ΔZYW 25. Refer to the figure. Complete the congruence statement. ΔWYZ  Δ_____ by AAS. ? A.ΔVYX B.ΔZYW C.ΔZYV D.ΔWYZ

  19. 26. Refer to the figure. Complete the congruence statement. ΔVWZ  Δ_____ by SSS. ? A.ΔWXZ B.ΔVWX C.ΔWVX D.ΔYVX 27. What congruence statement is needed to use AAS to prove ΔCAT ΔDOG? A. C  D B. A  O C. A  G D. T  G

  20. 28. Is it possible to prove that the triangles are congruent? If there is missing information that can be justified, then state it and it’s reason. Then give the congruence statement and postulate/theorem that supports it. Missing information/justify: Triangle Congruence/why: CPCTC:

  21. 29. Is it possible to prove that the triangles are congruent? If there is missing information that can be justified, then state it and it’s reason. Then give the congruence statement and postulate/theorem that supports it. Missing information/justify: Triangle Congruence/why: CPCTC:

  22. 30.Is it possible to prove that the triangles are congruent? If there is missing information that can be justified, then state it and it’s reason. Then give the congruence statement and postulate/theorem that supports it. Missing information/justify: Triangle Congruence/why: CPCTC:

  23. 31. Is it possible to prove that the triangles are congruent? If there is missing information that can be justified, then state it and it’s reason. Then give the congruence statement and postulate/theorem that supports it. Missing information/justify: Triangle Congruence/why: CPCTC:

  24. 32. Is it possible to prove that the triangles are congruent? If there is missing information that can be justified, then state it and it’s reason. Then give the congruence statement and postulate/theorem that supports it. Missing information/justify: Triangle Congruence/why: CPCTC:

  25. A. B. C. D. 33. Name two congruent segments if 1  2. 34. A. R W B. S V C. S U D. S T

  26. 35. Find m R if m RUV = 65. A. 30 B. 40 C. 50 D. 60

  27. ___ ___ 36. Find mCif ΔABC is isosceles with AB  AC and mA= 70. A.45 B. 55 C.70 D. 110 37. Find x if ΔLMN is equilateral with LM = 2x – 4, MN = x + 6, and LN = 3x – 14. A.20 B. 10 C.5 D. 2

  28. A.BC CD B.BC BD C.BD CD D. no sides are congruent 38. In isosceles triangle BCD, C is the vertex angle. Which sides are congruent?

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