Which term describes the point where the three angle bisectors of a triangle intersect?A.CircumcenterB.CentroidC.IncenterD.Orthocenter

Step 1: Identify the Terms

• Circumcenter: The point where the perpendicular bisectors of the sides intersect.
• Centroid: The point where the three medians of a triangle intersect.
• Incenter: The point where the three angle bisectors of a triangle intersect.
• Orthocenter: The point where the three altitudes of a triangle intersect.

Step 2: Analyze the Question

The question asks for the term that describes the intersection of the angle bisectors of a triangle.

Step 3: Confirm the Correct Answer

The angle bisector of a triangle divides the triangle's angles into two equal halves, and the point where all three bisectors meet is defined as the incenter.

Final Answer

C. Incenter