Question

Point Z is the incenter of ΔWXY.

Which statements are true? Check all that apply.
m∠ZYX = m∠ZXY

ZX bisects ∠WXY

BZ = WZ

The circle inscribed in ΔWXY will have a center at point Z.

Point Z is equidistant from the sides of ΔWXY.

Answer 1

2,4,5

Explanation:

Answer 2

Answer with explanation:

An Incenter of a triangle is defined as that point inside the triangle where the internal bisector of angles meet.

As, Z is the incenter of ΔWXY.

The true Statements are

2. ZX bisects ∠WXY

4.The circle inscribed in ΔWXY will have a center at point Z.

5. This statement will be true ,if we take perpendicular distance from the center to sides of triangle.

Point Z is equidistant from the sides of ΔWXY.