Question

Which of the following are properties of the incenter of a triangle? Check all that apply. A. The incenter is where all of the bisectors of the angles of the triangle meet. B. The incenter of a triangle is always inside it. 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.

Answer 1

Answer: A. The incenter is where all of the bisectors of the angles of the triangle meet.

B. The incenter of a triangle is always inside it.

Step-by-step explanation:

The point of intersection of the three angle bisectors is called its incenter. The angle bisectors of a triangle are the lines that divide an angle into two equal angles. The incenter is the center of the circle inscribed in the triangle.

Therefore, A and B are correct.

C. The incenter of a right triangle lies inside it. .

D.The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter .

Answer 2

The correct answer is A and B both