Question

If YZ is a perpendicular bisector of AX, then YXZ ~ YAZ.

A. True
B. False

Answer 1

I am pretty sure that the statement : If YZ is a perpendicular bisector of AX, then YXZ ~ YAZ. which describes the picture above is TRUE- one, according to the apex definition and conditions.
Do hope it will help you! Regards.

Answer 2

True

Explanation:

Given that XYA is a triangle with base AX

YZ is the perpendicular bisector of AX

Consider triangles XYZ and AYZ

We have

Angle XZY = angle AZY ( 90 degrees)

XZ = ZA (mid point property)

YZ=YZ (reflexive)

BY SAS congruence we get

the two triangles are congruent.

A) True is the answer