Question

centers of triangles ii
in this diagram, point p is the orthocenter of δabc.
how is the orthocenter 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 orthocenter of a triangle is defined as the intersection point of the triangle's altitudes. An altitude is a line segment from a vertex perpendicular to the opposite side. The first option describes drawing these perpendicular lines (altitudes) from each vertex, which intersect at the orthocenter. The other options refer to the incenter (angle bisectors) and centroid (medians through midpoints), not the orthocenter.

Answer:

A. By drawing a line from each vertex that is perpendicular to the opposite side