Geometry

Question Analysis

The main focus is to recall the name of the point of concurrency formed by the medians of a triangle.

Key Concept Explanation

Incenter: The incenter is the point of concurrency of the angle bisectors of a triangle. It is equidistant from the sides of the triangle.

Centroid: The centroid is defined as the point of concurrency of the medians of a triangle. A median is a line segment that connects a vertex of a triangle to the mid - point of the opposite side.

Perpendicular Bisectors: These are lines that are perpendicular to the sides of a triangle and pass through their mid - points. The point of concurrency of perpendicular bisectors is the circumcenter, not related to medians.

Altitude: An altitude is a perpendicular line segment from a vertex to the opposite side (or its extension). The point of concurrency of altitudes is the orthocenter, not formed by medians.

Step - by - Step Solution

1. Recall the property of medians:

By definition, when the medians of a triangle are drawn, they intersect at a single point, and this point is called the centroid.

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