Hypotenuse Leg Congruency

HL Triangle Congruence

Don't forget about:

Reflexive Property of Congruence

​Whenever two triangles share a side, instantly think of Reflexive Property of Congruence!

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​And separate the triangles!

​CA is congruent to CA by the Reflexive Property of Congruence

Are these two triangles congruent?

​Separate the triangles!

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Then ask yourself:

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1. Is at least one leg of each triangle congruent to each other?​

2. Are the two hypotenuses congruent to each other? ​

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Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

State if the two triangles are congruent.  If they are, state which theorem you would use.

• Yes, SAS
• Yes, SSS
• Yes, HL
• No

Multiple Choice

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

Multiple Choice

Which triangle congruence postulate is shown?

• SAS
• ASA
• SSS
• SSA

Multiple Choice

Which triangle congruence postulate proves that triangle PRS is congruent to triangle QRS?

• HL
• SAS
• SSA
• AAS

Multiple Choice

Which triangle congruence postulate is shown?

• ASA
• HL
• SSS
• SAS

Multiple Choice

Which triangle congruence proves triangle ABC congruent triangle XYZ?  

• ASA
• not necessarily congruent
• AAA
• SSS

Multiple Choice

Congruent by

• SSS
• SAS
• ASA
• AAS

Multiple Choice

Congruent by

• SSS
• SAS
• ASA
• AAS

Multiple Choice

Congruent by

• SSS
• SAS
• ASA
• AAS

Multiple Choice

Congruent by

• SSS
• SAS
• ASA
• AAS

Multiple Choice

Congruent by

• SSS
• not necessarily congruent
• ASA
• AAS

Multiple Choice

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

• SSA
• AAS
• ASA
• Not necessarily congruent

Multiple Choice

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

• AAA
• AAS
• ASA
• Not necessarily congruent

Multiple Choice

What additional information is required to prove the 2 triangles are congruent by SAS

• A)
• B)
• C)
• D)

Multiple Choice

What additional information is required to prove the 2 triangles are congruent by HL

• A)
• B)
• C)
• D)

Multiple Choice

What additional information is required to prove the 2 triangles are congruent by ASA

• A)
• B)
• C)
• D)

Multiple Choice

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

• HL
• SSA
• SAS
• AAS