Question

If you construct the inscribed circle of a triangle, then what is the name for the point where the three angle bisectors of a triangle intersect? (1 point)
• the orthocenter
• the circumcenter
• the centroid
• the incenter

What part of a triangle can the incenter be equidistant to? (1 point)
• a vertex
• a midpoint
• a side or vertex
• a side

If you construct a circumscribed circle around a triangle, what does the intersection of the perpendicular bisectors create? (1 point)
• a circumcenter
• an orthocenter
• an incenter
• a centroidIn a circle circumscribed about a triangle, the distance from any vertex to the circumcenter is (1 point)
• less than one.
• congruent.
• greater than one.
• similar.

Answer 1

1. The point where the three angle bisectors of a triangle intersect is called the **incenter**.

2. The part of a triangle that the incenter can be equidistant to is a **side**.

3. The intersection of the perpendicular bisectors in a triangle creates a **circumcenter**.

4. In a circle circumscribed about a triangle, the distance from any vertex to the circumcenter is **congruent**.