Congruent Postulates

How are these triangles congruent?

• AAA

• Not enough information

• ASA

• HL

Which of the following postulates/theorems can be used to prove ΔABC ≅ ΔDCB?

• SSS

• SAS

• ASA

• AAS

Which of the following is not a triangle congruence theorem?

• SAS

• ASA

• AAS

• SSA

Which congruence is needed to prove ΔXYZ ≅ ΔJKL by SAS?

• XY ≅ JK

• ZY ≅ LK

• ∠X ≅ ∠J

• ∠Y ≅ ∠L

In the drawing, line l || m. What is true of angles 1 and 2 and why?

• They are supplementary by same side interior angles theorem.

• They are congruent by alternate interior angles theorem

• They are congruent by alternate exterior angles theorem.

• They are congruent by corresponding angles theorem.

A rule that is accepted without proof

• postulate

• theorem

• proof

• conditional statement

A mathematical statement that does NOT require proof is a

• theorem

• postulate

• conjecture

• definition

Is the triangle congruent? If so, which congruence postulate proves it.

• SSS

• SAS

• Not Congruent

• ASA

Is the triangle congruent? If so, which congruence postulate proves it.

• SAS

• ASA

• Not Congruent

• SSS

Is the triangle congruent? If so, which congruence postulate proves it.

• AAS

• SAS

• Not Congruent

• ASA