Question

is it possible for triangle ABC and triangle XYZ to be similar? please help me explain reasoning and draw a picture. angle A and angle X are right angles(90°) and angle B is congruent to angle Z

Answer 1

It is convenient to draw the triangles, as follow:

Take into account that if angles X and A are right angles, then, they are congruent. Moreover, angles B and Z are congruent.

Due to two pair of angles are congruent, it is necessary that the third pairs of angles Y and C are congruent too.

Hence, due to all angles of triangle ABC are congruents with angles of triangle XYZ, you can conclude that both traingles are SIMILAR.