Respuesta :
The incenter of a triangle is the center of the triangle
The true statements are:
- Point A is the center of the circle that passes through points X, Y, and Z.
- ZA≅YA
- AX≅AY
From the diagram (see attachment), we have the following observations.
The lines from points X, Y and Z to point A are perpendicular to lines DX, DY and EF.
This mean that, point A is the center of a circle that passes through points X, Y and Z.
Hence, (b) is true
Also it means that:
[tex]\mathbf{AX \cong AY \cong AZ}[/tex] --- the radius of the circle.
Hence, (c) and (e) are true.
So, the true statements are: (b), (c) and (e)
Read more about incenters at:
https://brainly.com/question/18880557