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Proving Triangle Congruence

Total questions: 6

Worksheet time: 4mins

Name
Class
Date
1.

The statement “two triangles are congruent if their corresponding sides and angles are congruent” is based on _________.

a)

Definition

b)

Postulate

c)

Theorem

d)

Axiom

2.

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}  

3.

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}  

4.

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  

5.

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

6.

Why is it important to have a basis for reasoning in writing proofs when proving the congruence of triangles?

4 lines