Free Printable Triangle Congruence Proofs

1.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

2.

When do you use "CPCTC" in a proof?

a)

ALWAYS at the beginning

b)

ALWAYS at the end

c)

It's optional

d)

Never

3.

When using hypotenuse leg (HL) in a proof, you must first know...

a)

CPCTC

b)

there are right angles

c)

that vertical angles are congruent

d)

the reflexive property

4.

What is Reason B?

a)

Definition of Congruence

b)

Given

c)

Reflexive Property

d)

CPCTC

5.

What is Reason C?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

6.

What is Reason B?

a)

Reflexive Property

b)

Definition of Congruence

c)

CPCTC

d)

Given

7.

What is Reason C?

a)

SSS

b)

SAS

c)

CPCTC

d)

HL

e)

Prove

8.

Which of the following is a correct statement and reason for the proof shown? Select ALL that apply

a)

$\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

b)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

c)

$\overline{DG}\cong\overline{GE}$ ; Midpoint theorem

d)

$\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

9.

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

a)

$\overline{JK}\cong\overline{JK}$ ; Reflexive Property

b)

$\angle M\cong\angle L$ ; Reflexive Property

c)

$\overline{MJ}\cong\overline{LK}$ ; Midpoint Theorem

d)

$\overline{MK}\cong\overline{LJ}$ ; Hypotenuse Congruence

10.

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

a)

$\angle P\cong\angle Q$ ; SAS

b)

$\angle P\cong\angle Q$ ; CPCTC

c)

$\angle P\cong\angle Q$ ; SSS

d)

$\angle P\cong\angle Q$ ; SSA

11.

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

a)

$\angle GEQ\cong\angle NEW$ ; Vertical angles

b)

$\overline{WN}\cong\overline{GQ}$ ; Given

c)

$\angle G\cong\angle N$ ; AIA Theorem

d)

$\angle W\cong\angle Q$ ; AIA Theorem

12.

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

a)

$\angle1\cong\angle2$ ;Definition of a Bisector

b)

$\angle ADC\cong\angle BDC$ ; Definition of a Bisector

c)

$\angle A\cong\angle B$ ; Definition of a Bisector

d)

$\overline{AD}\cong\overline{DB}$ ; Definition of a Bisector

13.

What is Reason B?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

14.

What is Reason C?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

15.

What is Reason D?

a)

Definition of Congruence

b)

Given

c)

Reflexive Property

d)

Definition of Equality

16.

What is Reason E?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

17.

What is Reason F?

a)

CPCTC

b)

Given

c)

HL

d)

Definition of Perpendicular

18.

$Why\ would\ \overline{MK}\cong\overline{KM}$ ?

a)

Vertical Angles Theorem

b)

Reflexive Property of Congruence

c)

Alternate Interior Angles Theorem

d)

Definition of Midpoint

19.

Why would $\angle ACB\cong\angle DCE$

a)

AAS

b)

Definition of Midpoint

c)

Vertical Angles Theorem

d)

Definition of Parallel Lines

20.

$Why\ would\ \angle D\cong\angle E?$

a)

Vertical Angles Theorem

b)

Alternate Interior Angles Theorem

c)

Definition of Parallel Lines

d)

Corresponding Angles Postulate

21.

What would be the reason for the 5th statement ( $\overline{BD}\cong\overline{BD}$ )?

a)

Transitive Property

b)

Reflexive Property

c)

Vertical Angles

d)

SAS

22.

What would be the reason for the 6th statement $\left(\Delta ABD\cong\Delta CBD\right)$ ?

a)

HL

b)

SSA

c)

SSS

d)

SAS

23.

What is the "statement" for step 2 of the proof?

a)

$\overline{AD}\ \cong\overline{AD}$

b)

$\overline{AD}\ \cong\overline{DA}$

c)

$\overline{HD}\cong\overline{ND}$

d)

$\overline{HA}\ \cong\overline{AN}$

24.

What is the "statement" for step 3 of the proof?

a)

$\overline{AD}\ \cong\overline{DA}$

b)

$\overline{AN}\ \cong\overline{AH}$

c)

$\overline{HD}\ \cong\overline{ND}$

d)

$\overline{AH}\cong\overline{AD}$

25.

What would be the correct "given" statements for this diagram? Select ALL that apply

a)

T is the midpoint of $\overline{BG}$

b)

∡B≅∡G

c)

∡A≅∡W

d)

T is the midpoint of $\overline{AW}$

26.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

$\overline{BC}\ \cong\overline{DC}$

c)

<B≅<D

d)

<BAC≅<DAC

27.

What is the "statement" for step 4 of the proof?

a)

∆ACD≅∆ACB

b)

$\overline{BC}\ \cong\overline{DC}$

c)

<B≅<D

d)

∆ACB≅∆DAC

28.

Choose the correct congruence statement

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

29.

What is the "reason" for step 2 of the proof?

a)

reflexive property

b)

proof

c)

SAS
≅ thrm

d)

given

30.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

Triangle Congruence Proofs

Total questions: 30

Worksheet time: 8hrs 30mins

Similar Resources on Wayground