1. Unit 3 Review Geometry
Congruent Triangles

2. Question 1
Can you determine if the triangles are congruent? If so, how?

3. Question 1 Answer
Yes, SAS
Yes, ASA

4. Question 2
Can you determine if the triangles are congruent? If so, how?

5. Question 2 Answer
Yes, HL Thm
No, AAA does not suffice

6. Question 3
Can you determine if the triangles are congruent? If so, how?

7. Question 3 Answer
𝑌𝑒𝑠, 𝐴𝑆𝐴
Yes, AAS

8. Question 4
Find the value of x and y:

9. Question 4 Answer
X = 50
Y= 65

10. Question 5
Find the value of
x and y.

11. Question 5
X = 62
Y = 59

12. Question 6
Find the value of x and y:

13. Question 6 Answer
X = 15
Y= 5

14. Question 7 If ∆CGI  ∆MPR name the part that corresponds to each
∠𝐺 ≅ _____
𝑃𝑅 ≅ _____
∆𝑃𝑅𝑀 ≅ ______

15. Question 7 Answer ∠𝑃 𝐺𝐼
∆GIC

16. Question 8 Given: 1  2; 𝑊𝑋 ≅ 𝑍𝑌 Prove: 3  4 1) 1  2; 𝑊𝑋 ≅ 𝑍𝑌
Statement
Reason
1) 1  2; 𝑊𝑋 ≅ 𝑍𝑌 ?
2) 𝑊𝑃 ≅ 𝑍𝑃
3) ∆WXP  ∆ZYP
4) 𝑋𝑃 ≅ 𝑃𝑌
5) 3  4
Prove: 3  4
Prove: 3  4

17. Question 8 answer 2) 𝑊𝑃 ≅ 𝑍𝑃 3) ∆WXP  ∆ZYP 4) 𝑋𝑃 ≅ 𝑃𝑌 5) 3  4
Statement
Reason
1) 1  2; 𝑊𝑋 ≅ 𝑍𝑌
Given
2) 𝑊𝑃 ≅ 𝑍𝑃
Converse of Isosceles Triangle Thm
3) ∆WXP  ∆ZYP
SAS
4) 𝑋𝑃 ≅ 𝑃𝑌
CPCTC
5) 3  4
Isosceles Triangle Thm

18. Question 9
Which two triangles are congruent? Why?

19. Question 9 Answer
ΔSUV ≅ ΔNEO

20. Question 10
The legs or an isosceles triangle are x + 5 and 2x – 15, the base is 6x Find the length of the base.

21. Question 10 Answer
X = 20,
Base is 121 units