Question

Based only on the information given in the diagram, which congruence theorems

Answer 1

Answer: ASA, LA, LL, and SAS

Step-by-step explanation:

Answer 2

Answer:  A) SAS  and   B) ASA  and   (D) LA

Step-by-step explanation:

A) AC = XZ  Sides are congruent

   ∠C = ∠Z   Angles are congruent

   BC = YZ   Sides are congruent  

                  Side-Angle-Side

B) ∠A = ∠X   Angles are congruent

    AC = XZ   Sides are congruent

   ∠C = ∠Z   Angles are congruent  

                  Angle-Side-Angle

C) AB = XY is not given. We can use Pythagorean Theorem to discover that they are the same but since it is not given we cannot use Side-Side-Side.

D) AC = XZ   Legs are congruent

    ∠A = ∠X   acute Angles are congruent  

                     Leg-Angle