HL and SAS Triangle Congruence

Which is NOT a criteria for triangles to be congruent by the HL Theorem?

• Right triangles

• congruent hypotenuses

• Two pairs of congruent legs

• One pair of congruent legs

How are the triangles congruent?

• HL

• SSS

• SAS

• AAS

How are the triangles congruent?

• ASA

• SAS

• SSS

• AAA

How are the triangles congruent?

• SAS

• ASA

• HL

• SSS

Determine if the two triangles are congruent. If they are, state how you know.

• A

• B

• C

• D

∆JMK and ∆LKM are congruent by the _____ triangle congruency theorem.

• HL

• SAS

• AAS

• ASA

• SSA

Answer explanation

Both triangles share MK by the reflexive property. Ad, the angle is between the two congruent corresponding sides!

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

• Not Enough Information

• HL

• SAS

• SSA

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

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

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

• SSS

• SAS

• HL

• ASA