Question

GIVEN: ZW and ZY are right angles. WX = YX. Are WXZ and YXZ congruent?

A) Congruent: YES
B) Congruent: NO
C) Congruent by SSS
D) Congruent by SAS

Answer 1

Based on the given information, WXZ and YXZ are congruent triangles by the SAS congruence criterion.

Step-by-step explanation:

Based on the given information, both angles WXZ and YXZ are right angles as they are formed by the intersection of two perpendicular lines. Additionally, WX = YX implies that the sides adjacent to these right angles are equal in length.

This means that WXZ and YXZ are congruent triangles by the Side-Angle-Side (SAS) congruence criterion because they have a side (WX = YX in this case), an angle (the right angle), and another side (WZ = YZ) that are all equal.

Therefore, the correct answer is C) Congruent by SSS.