Question

use the vocabulary words provided to complete the statements below.
inscribed circle \t angle bisector \t incenter \t triangle

1. an _________________ cuts an angle into two equal parts.
2. every point on the _________________ is equidistant from the two sides of the angle.
3. the angle bisectors of the three angles of a triangle intersect at the _________________.
4. this point of intersection is the center of the _________________.

Explanation:

5.

Step1: Identify the term for angle division

An angle bisector is defined as a line (or ray) that divides an angle into two equal parts. So we choose "angle bisector" from the vocabulary.

Step1: Recall the property of angle bisector

By the definition of an angle bisector, every point on the angle bisector is equidistant from the two sides of the angle. So we use "angle bisector" here.

Step1: Recall the intersection of angle bisectors in a triangle

The angle bisectors of the three angles of a triangle intersect at a point called the incenter. So we select "incenter".

Answer:

angle bisector

6.