Question

based on the given diagram, complete the sentence below. answer attempt 1 out of 2 point d is the of △abc because (overline{de}), (overline{df}), and (overline{dg}) are all

Explanation:

Step1: Recall geometric definitions

The in - center of a triangle is the point of intersection of the angle bisectors of the triangle. Also, the distances from the in - center to the sides of the triangle are equal. Here, $\overline{DE},\overline{DF},\overline{DG}$ are perpendicular to the sides of $\triangle ABC$ respectively and are equal in length. This is a property of the in - center of a triangle.

Answer:

in - center