HL Congruence

• ∠B≇∠E and ∠C≇∠F
• ∠C≇∠F and AC≇DF
• ∠B≇∠E and AC≇DF
• ∠B≇∠E and ∠C≇∠F and AC≇DF

• ΔABC≅ΔBED by SAS
• ΔABC≅ΔBED by SSS
• ΔACB≅ΔDEB by SAS
• ΔACB≅ΔDEB by SSS

• Congruent by ASA
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

• ΔPQT≅ΔSRT by HL
• ΔPQT≅ΔSRT by SAS
• ΔPQT≅ΔSRT by SSA
• ΔPQT≅ΔSRT by SSS

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

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

Congruent by ASA

• Congruent by ASA

• Congruent by SAS

• Congruent by SSS

• Not Necessarily Congruent

• Congruent by HL
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

• Only PS≅RS because QS≅QS by Reflexive Property
• Only QS≅QS because PS≅RS by Reflexive Property
• Both QS≅QS and PR≅RS
• Both QS≅QS and PS≅RS

• ΔLMN≅ΔSTU by HL
• ΔLMN≅ΔSTU by SAS
• ΔLMN≅ΔSTU by SSA
• ΔLMN≅ΔSTU by SSS