Question

in which figure does point x represent the centroid of the triangle? * 1 point

Explanation:

The centroid of a triangle is the intersection point of the three medians. A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. In figure B, the segments from each vertex (O, P, R) to the midpoints of the opposite sides (W, Y, Z are midpoints as indicated by the tick marks) intersect at point X, which fits the definition of a centroid. Figures A, C, and D show other types of triangle centers (like orthocenter or other) as they involve right angles or different segment properties, not medians.

Answer:

B. The figure where point X is the intersection of the medians (segments from vertices to midpoints of opposite sides)