Question

question 6 of 10 which of the following are properties of the incenter of a triangle? check all that apply. a. the incenter of a triangle is always inside it. b. the incenter is where all of the bisectors of the angles of the triangle meet. c. the incenter of a right triangle lies on the side opposite the right angle. d. the incenter is where all of the perpendicular bisectors of the sides intersect.

Explanation:

The incenter of a triangle is the point of intersection of the angle - bisectors of the triangle. By definition, it is always inside the triangle. The point where the perpendicular bisectors of the sides intersect is the circum - center. The incenter of a right - triangle is also inside the triangle, not on the side opposite the right angle.

Answer:

A. The incenter of a triangle is always inside it.
B. The incenter is where all of the bisectors of the angles of the triangle meet.