Question

mai has proven that triangle wyz is congruent to triangle wyx using the side - side - side triangle congruence theorem. since corresponding parts of congruent triangles are congruent, angle zwy is congruent to angle xwy and angle zyw is congruent to angle xyw. true or false: mai can now conclude that diagonal wy bisects angles zwx and zyx. true false

Explanation:

Step1: Recall angle - bisector definition

An angle - bisector divides an angle into two congruent angles.

Step2: Analyze the congruent angles

Since \(\triangle WYZ\cong\triangle WYX\) by SSS, \(\angle ZWY\cong\angle XWY\), so \(WY\) bisects \(\angle ZWX\). Also, \(\angle ZYW\cong\angle XYW\), so \(WY\) bisects \(\angle ZYX\).

Answer:

True