Congruent Triangle Postulate and Theorems

For the figures shown, which information can be used to show that ABC ≅ DEF? Select all that apply.

• m∠D + m∠E = 90°

• m∠D = 37°

• ∠E ≅ ∠B

• ∠F is a right angle

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• AAS

• Not enough information

Which congruence theorems apply to RIGHT triangles

• AAS

• SSS

• ASA

• HL

• SAS

Which congruence theorems apply to triangles that are NOT right triangles?

• AAS

• SSS

• ASA

• HL

• SAS

Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

• 
• 
• 
• 

Name the postulate, if possible, that makes triangles AED and CEB congruent.

• SSA

• SAS

• HL

• Not enough information

A mathematical statement that does NOT require proof is a

• theorem

• postulate

• conjecture

• definition

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• AAS~

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• ASA

• Not Possible