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PROVING TRIANGLE CONGRUENCE

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

In the figure ΔPOG ΔSOR\Delta POG\ \cong\ \Delta SOR , what is the side corresponding to PO\overline{PO} ?

a)

SO\overline{SO}

b)

RD\overline{RD}

c)

RS\overline{RS}

d)

OS\overline{OS}

2.

In the figure  ΔDOS\Delta DOS  , what side is included between  D\angle D   and  O\angle O ?

a)

 DO\overline{DO}  

b)

 DS\overline{DS}  

c)

 SD\overline{SD}  

d)

 OS\overline{OS}  

3.

Jancent knows that  AB  XY\overline{AB}\ \cong\ \overline{XY}  and  AC  XZ\overline{AC}\ \cong\ \overline{XZ} . What other information must he know to prove that  ΔABC  ΔXYZ\Delta ABC\ \cong\ \Delta XYZ  by SAS congruence postulate?

a)

 B  Y\angle B\ \cong\ \angle Y  

b)

 C  Z\angle C\ \cong\ \angle Z  

c)

 A  X\angle A\ \cong\ \angle X  

d)

 A  B\angle A\ \cong\ \angle B  

4.

Miguel knows that inΔMIG \Delta MIG\  and  ΔJAN\Delta JAN  MI  JA , IG  AN \overline{MI}\ \cong\ \overline{JA}\ ,\ \overline{IG}\ \cong\ \overline{AN}\  and  MG  JN\overline{MG}\ \cong\ \overline{JN} . Which congruence postulate can he use to prove that  ΔMIG  ΔJAN\Delta MIG\ \cong\ \Delta JAN ?

a)

ASA

b)

SAS

c)

AAA

d)

SSS

5.

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

Your next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

6.

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

Your next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

7.

Given: AB || BC


The next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

8.

Given: ADBC\overline{AD}\perp\overline{BC} 

Your next line would be...

a)

Congruent Angles

b)

Congruent Segments

c)

Right Angles

9.

In the figure ΔPOG ΔSOR\Delta POG\ \cong\ \Delta SOR , what is the side corresponding to PO\overline{PO} ?

a)

SO\overline{SO}

b)

RD\overline{RD}

c)

RS\overline{RS}

d)

OS\overline{OS}