Question

The incenter of a triangle is

• A. The point of intersection of altitudes
• B. The point of intersection of medians
• C. The point of intersection of angle bisectors
• D. The point of intersection of perpendicular bisectors

Answer 1

Answer:

C. The point of intersection of angle bisectors

The correct answer is Option C: The point of intersection of the angle bisectors. In geometry, a triangle has several "centers," and each is formed by a different set of lines. Here is a quick way to remember which is which: ## Triangular Centers Breakdown * Incenter (Option C): Formed by Angle Bisectors. It is the center of the "incircle," which is the largest circle that can fit perfectly inside the triangle. * Centroid (Option B): Formed by Medians (lines connecting a vertex to the midpoint of the opposite side). This is the triangle's center of gravity. * Orthocenter (Option A): Formed by Altitudes (lines drawn from a vertex perpendicular to the opposite side). * Circumcenter (Option D): Formed by Perpendicular Bisectors. This is the center of a circle that passes through all three vertices of the triangle.