Question

Use the diagram and given information to answer the questions and prove the statement.

Answer 1

Answer:

See explanation

Step-by-step explanation:

Consider triangles BXY and AZY. In these triangles:

• $\angle X\cong \angle Z$ - given;
• $\overline{XY}\cong \overline{ZY}$ - given;
• $\angle XYZ\cong \angle ZYA$ as right angles by reflective property.

Hence, $\triangle BXY\cong \triangle AZY$ by ASA postulate (or by LA postulate).

Congruent triangles have congruent corresponding sides, so

$\overline{XB}\cong \overline{ZA}$