Free Printable Triangle Congruence Proofs

1.

What is the reason for the statement shown?

a)

Definition of Midpoint

b)

SSS

c)

Given

d)

CPCTC

2.

What is the correct reason for statement 2?

a)

Definition of Midpoint

b)

Reflexive Property of Congruence

c)

SAS

d)

Vertical Angles Theorem

3.

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

a)

Vertical Angles Theorem

b)

Reflexive Property of Congruence

c)

Alternate Interior Angles Theorem

d)

Definition of Midpoint

4.

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

a)

AAS

b)

Definition of Midpoint

c)

Vertical Angles Theorem

d)

Definition of Parallel Lines

5.

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

a)

Vertical Angles Theorem

b)

Alternate Interior Angles Theorem

c)

Definition of Parallel Lines

d)

Corresponding Angles Postulate

6.

By what theorem are these two triangles congruent?

a)

SSS

b)

AAS

c)

SSA

d)

SAS

e)

ASA

7.

These two triangles are congruent by what theorem?

a)

SAS

b)

ASA

c)

HL

d)

SSS

8.

These two triangles are congruent by what theorem?

a)

ASA

b)

AAS

c)

HL

d)

SAS

9.

These two triangles are congruent by what theorem?

a)

NOT CONGRUENT

b)

AAS

c)

SAS

d)

ASA

10.

$Given\ \angle P\cong\angle R\ and\ \overline{FP}\cong\overline{WR},$ what must be congruent for the triangles to be congruent by ASA?

a)

$\angle F\cong\angle W$

b)

$\overline{PT}\cong\overline{RK}$

c)

$\angle K\cong\angle T$

d)

$\overline{FT}\cong\overline{WK}$

11.

These two triangles are congruent by which theorem?

a)

HL

b)

SAS

c)

ASA

d)

SSS

12.

By what theorem are the two triangles congruent?

a)

HL

b)

ASA

c)

SAS

d)

not congruent

e)

AAS

13.

By what theorem are these two triangles congruent?

a)

SAS

b)

SSS

c)

SSA

d)

AAS

14.

By what theorem are these two triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

HL

15.

By what theorem are these two triangles congruent?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

16.

By what theorem are these two triangles congruent?

a)

SSS

b)

SAS

c)

SSA

d)

ASA

17.

By what theorem are these two triangles congruent?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

18.

$\angle S\ and\ \angle T\ are\ right\ angles\ and\ \overline{SV}\cong\overline{TV},\$
By what theorem are these triangles congruent?

a)

HL

b)

SAS

c)

ASA

d)

AAS

19.

$Given\ that\ \overline{RS}\parallel\overline{UT},\$ by what theorem is $\angle R\cong\angle U?$

a)

SAS

b)

Alternate Interior Angles Theorem

c)

Corresponding Angles Postulate

d)

HL

20.

According to the Reflexive Property of Congruence, $\overline{MK}\cong?$

a)

$\overline{LK}$

b)

$\overline{JM}$

c)

$\overline{KM}$

d)

$\overline{JK}$

21.

$By\ what\ theorem\ is\ \angle RVS\cong\angle UVT?$

a)

Alternate Interior Angles Theorem

b)

Corresponding Angles Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Postualte

22.

By what theorem is $\overline{AC}\cong\overline{CA}$ ?

a)

Vertical Angles Theorem

b)

SAS

c)

Reflexive Property of Congruence

d)

Transitive Property of Congruence

Triangle Congruence Proofs

Total questions: 22

Worksheet time: 22mins

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