Chapter 12.3, Problem 32E

To determine

To explain:

The triangle by sides and by measuring angles.

Explanation of Solution

Given:

The pairs of congruent corresponding angles

  $\angle A={90}^0$

Concept used:

Two geometric figures are congruent if a rigid motion or a composition of rigid motions maps one of the figures onto other.

Calculation:

If two triangles are congruent.

So all the corresponding parts are congruent.

If all corresponding parts of two triangles are congruent.

So the triangle are congruent.

The pairs of congruent corresponding angles

  $\angle A={90}^0$

By the triangle sum theorem

  $m\angle A+m\angle B+m\angle C={180}^0$

The angle $\angle A={90}^0$ and $2$ sides are congruent