Question

centers of triangles ii
the centroid of a triangle is the center of gravity for the
triangle, or the point upon which the triangle can be
balanced. the centroid of the triangle below is m.
triangle diagram with points p, q, r, and m, and midpoints a, b, c
how is the centroid of a triangle found?

• by drawing a line from each vertex that is perpendicular

to the opposite side

• by bisecting each angle and finding the point of

intersection

• by drawing a line from each vertex that goes through the

midpoint of the opposite side

Explanation:

The centroid is the intersection of the medians of a triangle. A median is a line segment connecting a vertex to the midpoint of the opposite side. Thus, drawing such lines from each vertex and finding their intersection gives the centroid. The other options describe altitudes (perpendicular lines from vertices to opposite sides) and angle bisectors, which form different triangle centers (orthocenter and incenter, respectively).

Answer:

By drawing a line from each vertex that goes through the midpoint of the opposite side