Proving Triangles Congruent SSS, SAS, ASA, AAS, HL, HA, LA, LL

What is the reason for statement #3? (How do we know these triangles are congruent?)

• CPCTC

• Reflective Property

• SAS

• SSS

Answer explanation

Focus on just one of the triangles if you need to.

All three sides were marked so these triangles are congruent by SSS.

Side-Side-Side

How can we prove these triangles congruent?

• AAS

• SAS

• NONE

• SSS

• A
• B
• C
• D

These two triangles can be proven congruent by using...

• cannot be proven congruent

• HL

• SAS

• ASA

ΔHLK is isosceles with base HK, ∠IHL and ∠JKL are right angles, IK ≅ JH. Refer to the figure, which of the following statements is true?

• ΔHIL ≅ ΔKJL by HL

• ΔHLK ≅ ΔJLK by SSS

• ΔHKI ≅ ΔHJK by SAS

• There are no congruent triangles.

Are the triangles congruent?

• Yes, by SSA

• Yes, by HL

• Yes, by SSS

• Yes, by SAS

• Not enough information

What is Statement?

• ∠MNL ≌ ∠ONP

• MN ≌ ON

• N ≌ N

• MO ≌ OM

Are these triangles congruent?

• Yes

• No

• Not enough informaiton

ΔHLK is isosceles with base HK, ∠IHL and ∠JKL are right angles, IK ≅ JH. Refer to the figure, which of the following statements is true?

• ΔHIL ≅ ΔKJL by HL

• ΔHLK ≅ ΔJLK by SSS

• ΔHKI ≅ ΔHJK by SAS

• There are no congruent triangles.

These two triangles can be proven congruent by using...

• AAS

• HL

• ASA

• None