Geometry Triangles Proofs

In the given proof, what is the reason for final step?

• Reflexive Property of Congruence

• Corresponding Parts of Congruent Triangles are Congruent

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

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≅△YXW

• Yes, △CBA≅△WXY

• Yes, △BCA≅△XYW

• No

What additional information is required in order to know that the triangles are congruent by HL Theorem?

• ∠G ≅ ∠X

• ∠H ≅ ∠V

• GI ≅ XV

• GH ≅ XW

Which congruence is needed to prove ΔXYZ ≅ ΔJKL by SAS?

• XY ≅ JK

• ZY ≅ LK

• ∠X ≅ ∠J

• ∠Y ≅ ∠L

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

• HL

• SSA

• SAS

• AAS

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

• AAA

• AAS

• ASA

• Not necessarily congruent

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