Hypotenuse Leg Proofs

When using hypotenuse leg (HL) in a proof, you must first state ...

• CPCTC.

• there are right triangles.

• that vertical angles are congruent.

• the reflexive property.

What is statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH

What triangle congruence criteria is shown in the given diagram?

• ASA

• AAS

• SSA

• HL

• A
• B
• C
• D

WHAT TRIANGLE CONGRUENCE IS ILLUSTRATED?

• HYPOTHENUSE-ANGLE

• HYPOTENUSE-LEG

• LEG-LEG

What additional information is needed to prove the triangles congruent by HL?

• A

• B

• C

• D

State if the triangles are congruent or not. If they are, state how you know.

• Yes - by AAS

• Yes - by ASA

• Yes - by HL

• Yes - by SAS

• Not congruent

• A
• B
• C
• D

For which situation could you prove ∆1 ≅ ∆2 using the HL (Hypotenuse-Leg) Theorem?

Answer explanation

The hypotenuses are only marked as congruent in the third picture.

The hypotenuse of the following triangle measures

• 28

• 23