Question

Triangles W X Z and Y Z X share common side X Z. Angles W X Z and X Z Y are right angles. The lengths of sides W X and Z Y are 21 centimeters. Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are both right triangles. No, the triangles share side XZ. No, there is only one set of congruent sides.

Answer 1

i believe it is a

Explanation:

edge

Answer 2

Yes, they are congruent by SAS

Explanation:

Required

Are ΔWXZ and ΔYZX similar?

From the question, we understand that:

• Both triangles have a common side at XZ
• Equal lengths at WX and ZY
• Equal angles
  `\angle WXZ = \angle XZY = 90^(\circ)`

Base on the above analysis, the two triangles have two congruent sides and 1 congruent angle i.e. (SAS postulate).