Definition

The point where the three angle bisectors of a triangle meet, which is also the center of the circle that can fit inside the triangle.

Example

The incenter of the triangle is equidistant from all three sides.

Conversation

Did you know that the incenter of a triangle is where all the angle bisectors meet?

Really? I had no idea that point had a special name.

Yeah, and it's also the center of the circle inscribed in the triangle.

That's interesting! I should pay more attention to these geometry terms.

Synonyms & Antonyms

Root Explanation

Incenter → It is formed from "in-" (meaning within) and "center" (from Latin "centrum", meaning the middle point). The word "incenter" refers to the center point located within a geometric figure, particularly a triangle, where the angle bisectors intersect.

Memory Tip

Think of a point that is located 'within' ('in-') the 'middle' ('center') of a shape, like a triangle. This helps you remember that an incenter is the center point inside a geometric figure.

Visually Confused Words