Properties of Triangle Congruence

What other information do you need in order to prove the triangles congruent using the SAS congruence postulate?

Can you use the ASA postulate, the AAS theorem, or both to prove the triangles congruent?

• either ASA or AAS

• ASA only

• AAS only

• neither

• AAS

• SAS

• ASA

• HL

In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?

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• 
• 
• 

What extra information is needed to be given to show that the two triangles are congruent by SAS?

• AB = ED

• angle A measure = angle E measure

• angle B measure = angle E measure

• None; there is enough information already.

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• ASA

• Not Possible

Name the postulate, if possible, that makes the triangles congruent.

• SAS

• HL

• SSA

• Not possible to prove

When two triangles share a side, what reason normally ends up in a proof of congruent triangles?

• Vertical angles theorem

• Alternate interior angles theorem

• Definition of midpoint

• Reflexive property