Geometry Proof Triangles

Which triangle congruence theorem can be used to prove the triangles are congruent?

• HL

• SSA

• SAS

• AAS

What is statement #2?

• ∠ABC≅∠EDC

• ∠BCA≅∠DCE

• BC≅CD

• ∠E≅∠A

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

• Yes, △ABC≅△NLM

• Yes, △CBA≅△NLM

• Yes, △CBA≅△MLN

• No

State if the two triangles are congruent.  If they are, state which theorem you would use.

• Yes, SAS

• Yes, SSS

• Yes, HL

• No

If AC≅PR what other piece of information do you need to prove the triangles are ≅ by HL Theorem?

• AC≅PR

• BC≅QR

• <A≅<P

• <C≅<R

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

• SSS

• SAS

• AAS

• Not Possible

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

• AAA

• AAS

• ASA

• Not necessarily congruent

Congruent triangles have 3 congruent ______ and 3 congruent _____.

• sides and sides

• sides and angles

• angles and angles

• parts and triangles

When can we use the HL Congruence Theorem?

• Right Triangles

• Isosceles Triangles

• When we have a reflexive side

• SSA

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

• Yes by ASA

• Yes by AAS

• Yes by SSA

• Not congruent