Question

choose which terms best describes point p. orthocenter incenter circumcenter centroid

Explanation:

• The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude is a perpendicular segment from a vertex to the line containing the opposite side.
• In the given figure, \(AD\perp BC\), \(BE\perp AC\), and \(CF\perp AB\). The point \(P\) is the intersection of these three altitudes.
• The in - center is the intersection of the angle bisectors of a triangle. The circum - center is the intersection of the perpendicular bisectors of the sides of a triangle. The centroid is the intersection of the medians (a median is a segment from a vertex to the mid - point of the opposite side) of a triangle. Since the figure shows the intersection of altitudes, it is not the in - center, circum - center, or centroid.

Answer:

orthocenter