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Quest Prep - Congruent Triangles G.6

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Select which postulate proves the two triangles are congruent.

a)

SSS

b)

SAS

c)

AAS

d)

ASA

e)

HL

2.

Determine which postulate proves congruence::
Given C is the midpoint of  AE and BD\overline{AE}\ and\ \overline{BD}  
Prove:  ΔABCΔEDC\Delta ABC\cong\Delta EDC  

a)

SSS

b)

SAS

c)

AAS

d)

ASA

e)

HL

3.

Which pair of triangles cannot be proved congruent?

a)

A

b)

B

c)

C

d)

D

4.

State what additional information is required to prove the triangles are congruent by postulate ASA.

a)

FL\angle F\cong\angle L

b)

DFJL\overline{DF}\cong\overline{JL}

c)

FELK\overline{FE}\cong\overline{LK}

d)

DEJK\overline{DE}\cong\overline{JK}

5.

Complete the proof table for the following congruent triangles.

Select All that apply

a)

Given

b)

Definition of Midpoint

c)

ASA

d)

SAS

e)

SSS

6.

Given the measures shown in the diagram below, which triangle is not congruent ?

a)

J

b)

K

c)

L

d)

M

7.

Which triangles are congruent?

a)

A and B

b)

A and C

c)

B and C

8.

Given  ΔMOPΔSAT\Delta MOP\cong\Delta SAT  find the measure:   SA\overline{SA}\cong  

a)

7

b)

13

c)

18

9.

Given  ΔABCΔDNP\Delta ABC\cong\Delta DNP  , find the value of x and y.

a)

 x=8x=8  

b)

 y=8y=8  

c)

 x=36x=36  

d)

 y=36y=36  

10.

Which set of ordered pairs could represent the vertices of a triangle congruent to  ΔLMP\Delta LMP  ?

a)

 {(5, 3), (5, 7), (1, 5)}\left\{\left(5,\ -3\right),\ \left(5,\ -7\right),\ \left(1,\ -5\right)\right\}  

b)

 {(0,1),(0,7),(6,4)}\left\{\left(0,-1\right),\left(0,-7\right),\left(-6,-4\right)\right\}