Quiz about Congruent Triangles Proof and Theorem Practice

Question 1

What does CPCTC stand for?

Accepted Answer

Corresponding Parts of Congruent Triangles are Congruent

Answer

Congruent Parts of Congruent Triangles are Corresponding

Answer

Colorful Pieces of Corresponding Triangles are Congruent

Answer

Congruent Pieces of Congruent Triangles are Congruent

Question 2

Are the triangles congruent, if yes, why?

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

Not Congruent

Question 3

Are the triangles congruent, if yes, why?

Accepted Answer

ASA

Answer

SAS

Answer

SSS

Answer

Not Congruent

Question 4

Which of the following is not a valid reason to prove congruent triangles?

Accepted Answer

SSA

Answer

ASA

Answer

SAS

Answer

SSS

Question 5

What is reason #3?

Accepted Answer

SAS

Answer

ASA

Answer

SSS

Answer

AAS

Question 6

What is reason #1?

Accepted Answer

Given

Answer

Reflexive Property

Answer

Definition of Bisect

Answer

Prove

Question 7

What is reason #2?

Accepted Answer

Definition of Bisect

Answer

Definition of Midpoint

Answer

Definition of Perpendicular

Answer

Definition of Right Triangle

Question 8

What is reason #2?

Accepted Answer

Alternate interior angles are congruent.

Answer

Vertical angles are congruent.

Answer

Consecutive angles are congruent.

Answer

Definition of Bisect

Question 9

What is reason #4?

Accepted Answer

Reflexive Property

Answer

Definition of Midpoint

Answer

Vertical angles are congruent.

Answer

Given

Question 10

Which segment is congruent to EF?

Accepted Answer

GF

Answer

HG

Answer

HF

Answer

IE

Question 11

Are these triangles congruent? If so, state the rule which you used to determine congruence.

Accepted Answer

Not necessarily congruent

Answer

SSA

Answer

AAS

Answer

ASA

Question 12

Are these triangles congruent? If so, state the rule which you used to determine congruence.

Accepted Answer

Both SSS and SAS

Answer

SAS

Answer

SSS

Answer

Not necessarily congruent

Question 13

Fill in the two missing reasons.

Accepted Answer

Reflexive Property ; SAS

Answer

Reflexive Property ; ASA

Answer

Symmetric Property ; ASA

Answer

Symmetric Property ; SAS

Question 14

What additional information is required for the 2 triangles to be congruent by ASA?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 15

Choose the correct conclusion.

Accepted Answer

Then segment AC is congruent to segment DC.

Answer

Then segment BC is congruent to segment EC.

Answer

Then segment AD is congruent to Segment AD.

Answer

Then Angle BCA is congruent to Angle ECD.

Question 16

Two right triangles are congruent if they have a congruent Hypotenuse and Leg

Accepted Answer

True

Answer

False

Question 17

Identify the  missing statement or reason

Accepted Answer

Definition of Angle Bisector

Answer

Given

Answer

Vertical Angles Theorem

Answer

Alternate Interior Angles Theorem

Question 18

What is the reason?

Accepted Answer

Reflexive

Answer

Symmetric

Answer

Definition of Congruence

Answer

Definition of Angle

Question 19

Which of the following is not a valid reason to prove congruent triangles?

Accepted Answer

AAA

Answer

ASA

Answer

SAS

Answer

SSS

Question 20

Use the congruency statement to answer the following:

Accepted Answer

<G

Answer

<H

Answer

<I

Answer

not congruent to another angle

Question 21

Are these triangles congruent? If so, state the rule which you used to determine congruence.

Accepted Answer

Yes by ASA

Answer

Yes by AAS

Answer

Yes by SSA

Answer

Not congruent

Question 22

Find the measure of the indicated angle.

Accepted Answer

45

Answer

95

Answer

85

Answer

35

Congruent Triangles Proof and Theorem Practice

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