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Chapter 4: Proving Triangles are Congruent

Total questions: 8

Worksheet time: 6mins

Name
Class
Date
1.

Given: B is the midpoint of  AC‾\overline{AC}  

The next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

2.

Given:  AE‾ \overline{AE}\   bisects  ∠BEC\angle BEC  

Your next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

3.

Given:  AE‾ \overline{AE}\   bisects  BD‾\overline{BD}  

Your next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

4.

Given: AB || BC


The next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

5.

Suppose you are given information on parallel lines.


Which reason(s) would you have attached to your congruent angles?

a)

Definition of Congruence

b)

Alternate Interior Angles Theorem

c)

Corresponding Angles Postulate

d)

Same-Side Interior Angle Theorem

e)

Vertical Angles Theorem

6.

Given: AD‾⊥BC‾\overline{AD}\perp\overline{BC} 

Your next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

7.

Suppose you are given information on perpendicular lines.


You have already stated that you have right angles.


Which triangle congruence postulate would you state you have right triangles and what would your reason be?

a)

SSS; Right Angle Theorem

b)

SAS; Right Angle Theorem

c)

ASA; Right Angle Theorem

d)

AAS; Right Angle Theorem

e)

HL; Definition of Right Triangles

8.

Suppose you are given information on perpendicular lines.


You have already stated that you have right angles.


Which triangle congruence postulate would you state you have congruent angles and what would your reason be?

a)

SSS; Right Angle Theorem

b)

SAS; Right Angle Theorem

c)

ASA; Right Angle Theorem

d)

AAS; Right Angle Theorem

e)

HL; Definition of Right Triangles