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

Tags

CCSS.HSG.SRT.B.5

How are the triangles congruent?

• HL

• SSS

• SAS

• AAS

Tags

CCSS.HSG.SRT.B.5

How are the triangles congruent?

• ASA

• SAS

• SSS

• AAA

Tags

CCSS.HSG.SRT.B.5

How are the triangles congruent?

• SAS

• ASA

• HL

• SSS

Tags

CCSS.HSG.SRT.B.5

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

• A

• B

• C

• D

Tags

CCSS.HSG.SRT.B.5

∆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!

Tags

CCSS.HSG.SRT.B.5

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

• Not Enough Information

• HL

• SAS

• SSA

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5

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

• SSS

• SAS

• HL

• ASA

Tags

CCSS.HSG.SRT.B.5