1. Concepts 21 – 23 Review

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

3. 3. Find x if ΔABC is an equilateral triangle.
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°
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. 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.
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
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8. 15. Refer to the figure. Find x.
16. Refer to the figure. Find m A.

9. 17. Given that ΔABC  ΔDEF, which of the following statements is true?
A. A  E
B. C  D
C. AB  DE
D. BC  FD
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10. 18. Find m∠1.
A. 40
B. 140
C. 150
D. 60

11. Prove: ΔLMN  ΔPON

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

13. Concepts Review

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

18. 24. Refer to the figure. Complete the congruence statement
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
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
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
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
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
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
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. 33. Name two congruent segments if 1  2.
34. A. B. C. D.
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C if ΔABC is isosceles with AB  AC and mA = 70.
___
A B. 55
C 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. 38. In isosceles triangle BCD, C is the vertex angle
38. In isosceles triangle BCD, C is the vertex angle. Which sides are congruent?
A. BC  CD
B. BC  BD
C. BD  CD
D. no sides are congruent