Question

Compare and contrast the perpendicular bisectors, medians, and altitudes of a triangle. How are they alike? How are they different?

Answer 1

i got .. A perpendicular bisector is a segment that is perpendicular to a segment at it’s midpoint. (90 degrees). A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. The altitudes of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side. is that correct?

Answer 2

A perpendicular bisector
is a segment that is perpendicular to a segment at it’s midpoint. ( 90 degrees )
Perpendicular Bisector Theorem: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side.
Concurrency of Medians of a Triangle Theorem The medians of a triangle intersect at a point that is two-thirds of each segment.

The altitudes of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side.
• Concurrency of Altitudes Theorem The lines containing the altitudes of a triangle are concurrent.
Hope this help