Question

based on the given diagram, complete the sentence below.

answer attempt 1 out of 2

point d is the of △abc because \overline{ad}, \overline{bd},
and \overline{cd} are all

Explanation:

Step1: Recall the definition of the in - center

The in - center of a triangle is the point of intersection of the angle bisectors of the triangle.

Step2: Recall the property of the in - center

The in - center is equidistant from the sides of the triangle.

Answer:

Point \(D\) is the in - center of \(\triangle ABC\) because \(\overline{AD}\), \(\overline{BD}\), and \(\overline{CD}\) are all angle bisectors (and the in - center is equidistant from the sides of the triangle).