Congruent Triangles

UNIT 3 REVIEW GEOMETRY

QUESTION 1• Can you determine if the triangles

are congruent? If so, how?

QUESTION 1 ANSWER

•Yes, SAS•Yes, ASA

QUESTION 2

• Can you determine if the triangles are congruent? If so, how?

QUESTION 2 ANSWER

• Yes, HL Thm• No, AAA does not suffice

QUESTION 3• Can you determine if the triangles

are congruent? If so, how?

QUESTION 3 ANSWER

• Yes, AAS

QUESTION 4

• Find the value of x and y:

QUESTION 4 ANSWER

• X = 50• Y= 65

QUESTION 5

• Find the value of

x and y.

QUESTION 5

• X = 62• Y = 59

QUESTION 6

• Find the value of x and y:

QUESTION 6 ANSWER

•X = 15•Y= 5

QUESTION 7

• If ∆CGI ∆MPR name the part that corresponds to each

1. _____

2. _____

3. ______

QUESTION 7 ANSWER

• GIC

QUESTION 8

WX ZY

WX ZYWP ZPXP YP

Given: 1 2; Prove: 3 4WX ZY

WX ZYWP ZPXP YP

Prove: 3 4

• Given: 1 2; • Prove: 3 4

Statement Reason

1) 1 2; ?

2) ?

3) ∆WXP ∆ZYP ?

4) ?

5) 3 4 ?

WP ZP

QUESTION 8 ANSWER

Statement Reason

1) 1 2; Given

2) Converse of Isosceles Triangle Thm

3) ∆WXP ∆ZYP SAS

4) CPCTC

5) 3 4 Isosceles Triangle Thm

QUESTION 9Which two triangles are congruent? Why?

QUESTION 9 ANSWER• ΔSUV ΔNEO

QUESTION 10

The legs or an isosceles triangle are x + 5 and 2x – 15, the base is 6x + 1. Find the length of the base.

QUESTION 10 ANSWER

•X = 20,•Base is 121 units