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Congruent Triangle Proofs with CPCPTC

Total questions: 11

Worksheet time: 11mins

Name
Class
Date
1.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

2.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

3.

Which of the following is a correct statement and reason for the proof shown?

a)

∠APB≅∠CPD\angle APB\cong\angle CPD ; Vertical angles are congruent

b)

∠A≈∠D\angle A\approx\angle D ; Alternate Interior angles are congruent when formed by parallel lines

c)

∠C≅∠B\angle C\cong\angle B ; Alternate Interior angles are congruent when formed by parallel lines

d)

AB‾≅CD‾\overline{AB}\cong\overline{CD} ; Prove

4.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

5.

Given: ∆MAN ≅∆DEN Then by CPCTC, ∠M≅∠\angle M\cong\angle  

a)

∠N

b)

∠D

c)

∠E

d)

∠A

6.

Use the congruency statement to answer the following:  by CPCTC ∠F = ___

a)

∠H

b)

∠I

c)

∠G

d)

not congruent to another angle

7.

if ∆ABC≅∆XYZ, then by CPCTC which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

8.

∠A ≅

a)

∠M

b)

∠N

c)

∠L

9.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

10.

ΔABC ≅Δ?\Delta ABC\ \cong\Delta?  

a)

ΔEFD\Delta EFD  

b)

ΔDFE\Delta DFE  

c)

ΔDEF\Delta DEF  

d)

ΔFED\Delta FED  

11.

By CPCTC what angle in △DFE is congruent to ∠B?

a)

∠D

b)

∠F

c)

∠E

d)

∠A

e)

∠C