which triangle has a point at its centroid?

Explanation:

Step1: Recall centroid definition

The centroid of a triangle is the point of intersection of its medians (lines connecting a vertex to the mid - point of the opposite side).

Step2: Analyze the figures

In a triangle, the centroid divides each median in a 2:1 ratio from the vertex. We need to look for the figure where the lines connecting vertices to mid - points of opposite sides intersect at a single point.

Step3: Identify the correct triangle

By visual inspection, we can see that in the third triangle (C), the lines representing the medians intersect at a single point which is the centroid.

Answer:

C