Question

Triangle DEF is shown. If a circle is inscribed in the triangle, which angle bisectors will pass through the center of the circle?

A) only the bisector of angle D Eliminate

B) the bisectors of angles D, E, and F

C) only the bisectors of angles D and E

D) only the bisectors of angles D and F

Answer 1

B) the bisectors of angles D, E, and F 

In an inscribed circle of a triangle, all angle bisectors will pass through the center of the circle. 

Pls. see attachment. 

1st attachment is Triangle DEF. 2nd attachment is how inscribed circle relates to the triangle it is inscribed in. 

Answer 2

The angle bisectors that will pass through the center of the circle that is inscribed in the triangle are: B) the bisectors of angles D, E, and F.

Incenter of a Triangle

The incenter of a triangle can also be referred to as the center of a triangle's incircle formed when a circle is inscribed into the triangle.

The incenter is where the three angle bisectors of the triangle intersects.

Therefore, the angle bisectors that will pass through the center of the circle that is inscribed in the triangle are: B) the bisectors of angles D, E, and F.

Learn more about incenter of a triangle on:

https://brainly.com/question/2279756