Geometry Triangle Theorems

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

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

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

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

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

• XY ≅ JK

• ZY ≅ LK

• ∠X ≅ ∠J

• ∠Y ≅ ∠L

Which of the following postulates/theorems can be used to prove ΔABC ≅ ΔDCB?

• SSS

• SAS

• ASA

• AAS

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

• SSS

• SAS

• AAS

• Not Possible

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

• Substitution Property

• Commutative Property

• Reflexive Property

• CPCTC

• Reflective Property