Question

mid-term review
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. A median is a line - segment that joins a vertex of a triangle to the mid - point of the opposite side.

Step2: Identify medians in figures

In the first figure, the lines drawn from each vertex to the mid - point of the opposite side intersect at a single point, which is the centroid. In the second figure, the lines are not medians (they don't connect vertices to mid - points of opposite sides). In the third figure, the lines are altitudes (perpendicular from vertices to opposite sides), not medians.

Answer:

The first triangle (the one where lines from vertices to mid - points of opposite sides intersect at a point)