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CPCTC and Triangle Congruence

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

What value of x makes △GTB ≅ △HAR?

a)

0

b)

8

c)

19

d)

9.5

2.

Given: ∆MAN ≅∆DEN

∠END ↔ ___

a)

∠AMN

b)

∠NMA

c)

∠MNA

d)

∠ANM

3.

Solve for x if Δ\Delta  ABC =  Δ\Delta  DEF

a)

4.5

b)

5

c)

5.5

d)

6

4.

Given that triangle ABC is congruent to triangle DEF, if angle A is congruent to angle D, what can we conclude about angle B and angle E? Select the 2 best answers.

a)

m∠B=m∠Em\angle B=m\angle E

b)

∠B≅∠E\angle B\cong\angle E

c)

m∠B≠m∠Em\angle B\ne m\angle E

d)

∠B is not ≅∠E\angle B\ is\ not\ \cong\angle E

5.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

6.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

7.

IF ∆ABC≅∆XYZ
which statement is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

8.

∠A ≅\angle A\ \cong_{ } ____

a)

∠M\angle M

b)

∠N\angle N

c)

∠L\angle L

9.

If ΔDEF ≅ ΔRST, then we can conclude that DE‾≅\overline{DE}\cong ____?

a)

ST‾\overline{ST}

b)

RS‾\overline{RS}

c)

DF‾\overline{DF}

d)

RT‾\overline{RT}

10.

Given:  ΔQRP≅ΔQRC\Delta QRP\cong\Delta QRC  
Complete the congruence statement.

∠PQR≅\angle PQR\cong_{ }  

a)

∠QRC\angle QRC  

b)

∠CQR\angle CQR  

c)

∠CRQ\angle CRQ  

d)

∠QPR\angle QPR  

11.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

12.

These triangles are congruent. If ∠A is 48o what is the measure of ∠F?

a)

48o

b)

38o

c)

84o

d)

94o

13.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible