1. Congruent Triangles TEST REVIEW

2. Given ∆XYZ ≡ ∆RST, Find the following:
XZ ≡
<Z ≡
YZ ≡
<Y ≡ <
XY ≡

3. Given ∆XYZ ≡ ∆RST, Find the following:
<R ≡ < X
XZ ≡ RT
<Z ≡< T
YZ ≡ ST
<Y ≡ < S
XY ≡ RS

4. Classify the Triangle by its’ sides and its’ angles
800
500
500

5. Classify the Triangle by its’ sides and its’ angles
ACUTE ISOSCELES
800
500
500

6. Classify the Triangle by its’ sides and its’ angles25 12
1300
200 10

7. Classify the Triangle by its’ sides and its’ angles
OBTUSE SCALENE 25 12
1300
200 10

8. Classify the Triangle by its’ sides and its’ angles
600
600
600

9. Classify the Triangle by its’ sides and its’ angles
600
600
600
EQUILATERAL, EQUIANGULAR

10. What are the ways to prove that two triangles are congruent?

11. What are the ways to prove that two triangles are congruent?
SSS
SAS, LL
AAS
ASA HL

12. Find m<B C
5x+2 A
3x+5 B
2x+23

13. Find m<B
3x x x + 23 = 180 C
5x+2 A
3x+5 B
2x+23

14. C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180 5x+2

15. C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180

16. C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180

17. C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180
= 2(15) + 23 C
5x+2 A
3x+5 B
2x+23

18. C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180
= 2(15) + 23 = C
5x+2 A
3x+5 B
2x+23

19. C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180
= 2(15) + 23 =
=53 degrees C
5x+2 A
3x+5 B
2x+23

20. Given the following can you prove that ΔACD ≡ ΔBCD
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD bisects <ACB and <A ≡ <B 1 2 A B D

21. Given the following can you prove that ΔACD ≡ ΔBCD
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD bisects <ACD and <A ≡ <B 1 2
Yes.
AAS A B D

22. Given the following can you prove that ΔACD ≡ ΔBCD
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is perpendicular to AB, and AC ≡ BC 1 2 A B D

23. Given the following can you prove that ΔACD ≡ ΔBCD
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is perpendicular to AB, and AC ≡ BC 1 2
Yes. HL A B D

24. CD is the perpendicular bisector of AB.
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is the perpendicular bisector of AB. 1 2 A B D

25. CD is the perpendicular bisector of AB.
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is the perpendicular bisector of AB. 1 2
Yes.
SAS A B D

26. CD is an altitude of ΔABC.
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is an altitude of ΔABC. 1 2 A B D

27. CD is an altitude of ΔABC.
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is an altitude of ΔABC. 1 2 No A B D

28. CD is a median of ΔABC, and <CDB=90 degrees.
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is a median of ΔABC, and <CDB=90 degrees. 1 2 A B D

29. CD is a median of ΔABC, and <CDB=90 degrees.
Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C
CD is a median of ΔABC, and <CDB=90 degrees. 1 2
Yes. LL A B D

30. ΔXYZ is what kind of triangle? (scalene, isosceles, or equilateral)
1100
1100

31. ΔXYZ is what kind of triangle? (scalence, isosceles, or equilateral)
1100
1100
Isosceles

32. Find m<A A
1100
1100

33. Find m<A A
1100
1100
700
700

34. Find m<A A
1100
1100
700
700
= 140

35. Find m<A A
1100
1100
700
700
= 140
180 – 140 = 40

36. A Find m<A m<A = 40 degrees 1100 1100 700 700 70 + 70 = 140
180 – 140 = 40

37. Find the length of AB A
5x + 13
7x - 11 C B

38. Find the length of AB A
5x + 13
7x - 11 C B
7x – 11 = 5x + 13

39. Find the length of AB A
5x + 13
7x - 11 C B
7x – 11 = 5x + 13
2x = 24

40. A C B Find the length of AB 7x – 11 = 5x + 13 2x = 24 X = 12 5x + 13

41. A C B Find the length of AB AB = 5x + 13 7x – 11 = 5x + 13 2x = 24

42. A C B Find the length of AB AB = 5x + 13 = 5(12) +13 7x – 11 = 5x + 13

43. A C B Find the length of AB AB = 5x + 13 = 5(12) +13 = 60 + 13
7x – 11 = 5x + 13
2x = 24
X = 12

44. A C B Find the length of AB AB = 5x + 13 = 5(12) +13 = 60 + 13 =73
7x – 11 = 5x + 13
2x = 24
X = 12

45. Complete the statement with sometimes, always, or never
A right triangle is an isosceles triangle.
An obtuse triangle is an equilateral triangle.
An isosceles triangle is an equilateral triangle.
An acute triangle is a scalene triangle.

46. Complete the statement with sometimes, always, or never
A right triangle is SOMETIMESan isosceles triangle.
An obtuse triangle is NEVER an equilateral triangle.
An isosceles triangle is SOMETIMES an equilateral triangle.
An acute triangle is SOMETIMES a scalene triangle.

47. Find the measure of the exterior angle
650
720

48. Find the measure of the exterior angle
650
720

49. Find the measure of the exterior angle
137
650
720

50. Find the measure of the exterior angle
137
137 degrees
650
720

51. What is missing to say that the two triangles below are congruent by AASD B F C

52. What is missing to say that the two triangles below are congruent by AASD
<B ≡ <D B F C

53. What is missing to say that the two triangles below are congruent by SASD A B C F

54. What is missing to say that the two triangles below are congruent by SASD A
Not Congruent B C F

55. Remember: Special segments, and what they mean
Triangle congruency statements tell you everything you need to know about the angles and side.
When you are choosing what theorem makes two triangles congruent, be careful about the order you use.
The only two things you can assume without being told are vertical angles and reflexive sides (AB = AB)