Which congruence theorem can be used to prove △WXZ ≅ △YZX? Triangles W X Z and Y Z X share side X Z. Angles W X Z and X Z Y are
right angles. Angles X W Z and X Y Z are congruent. AAS ASA SAS HL
2 answers:
Answer:
The correct option is AAS.
Step-by-step explanation:
Consider the diagram below.
- It is provided that The triangles △ WXZ and △ YZX share a side <em>XZ</em>.
- Angles ∠WXZ and ∠XZY are right angles.
- Angles ∠XWZ and ∠XYZ are congruent.
If two angles are congruent it implies that they are same in degrees or radians.
So, the angles ∠XWZ and ∠XYZ are equal.
So, in the diagram below, one of the triangles have two angles that are equal to the corresponding angles on the other triangle and the two triangles share a side.
Then according to the Angle-Angle-Side (AAS) statement the triangles △ WXZ and △ YZX are congruent.
Thus, the correct option is AAS.
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