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 in - center

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

Step2: Analyze the given diagram

In the diagram, since \(AD\), \(BD\), and \(CD\) are angle bisectors (as indicated by the angle markings), the point \(D\) which is the intersection of these angle bisectors.

Answer:

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