What is point P in triangle ABC called?
A.incenter
B.median
C.circumcenter
D.centroid
My answer: D
since I have no diagram to see, I cannot confirm nor refute your assertion.
To determine what point P in triangle ABC is called, you need to be familiar with the different points in a triangle.
A. The incenter is the point of intersection of the angle bisectors of the triangle. It is equidistant from the three sides of the triangle.
B. The median is a line segment joining a vertex of the triangle to the midpoint of the opposite side. The three medians in a triangle intersect at a point called the centroid.
C. The circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle. It is equidistant from the three vertices of the triangle.
D. The centroid is the point of intersection of the medians of the triangle. It divides each median into two segments, with the segment closer to the vertex being twice as long as the segment closer to the midpoint of the opposite side.
So, point P in triangle ABC is called the centroid, which corresponds to option D.