Question

In ΔXYZ, XY = XZ, and the bisectors of angles Y and Z intersect at point M, then

• A. YM = ZM
• B. XZ = ZM
• C. ∠XYZ = ∠XYM
• D. XY = YM

Answer 1

The correct option is A

YM = ZM

The angle bisector of an angle divides the angle in two equal parts.

Two sides and their included angle of one triangle are equal to the two sides and their included angle of another triangle, and then the two triangles are congruent.

The corresponding parts of two congruent triangles are equal.