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

Mathematics

1 answer:

kiruha [24]2 years ago

4 0

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

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

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