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Strike441 [17]
3 years ago
12

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

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
8 0

Answer: ASA, LA, LL, and SAS

Step-by-step explanation:

Finger [1]3 years ago
3 0

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

<u>Step-by-step explanation:</u>

A) AC = XZ  Sides are congruent

   ∠C = ∠Z   Angles are congruent

   BC = YZ  <u> Sides are congruent   </u>

                  Side-Angle-Side

B) ∠A = ∠X   Angles are congruent

    AC = XZ   Sides are congruent

   ∠C = ∠Z   <u>Angles are congruent  </u>

                  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   <u>acute Angles are congruent  </u>

                     Leg-Angle

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