Question

A line segment (DE) joining the midpoints of two sides of a triangle is _______ to the third side _______ as long. The line segment (ZY) joining a vertex of a triangle to the _______ of the opposite side is called a median. The medians of a triangle _______ its area.

A) Parallel, equally, midpoint, double
B) Perpendicular, half, bisector, quadruple
C) Parallel, half, centroid, triple
D) Congruent, equally, midpoint, quadruple

Answer 1

A segment connecting the midpoints of two sides of a triangle is parallel to and half the length of the third side. The median of a triangle connects a vertex to the midpoint of the opposite side, and medians divide the triangle into equal-area sections.

Step-by-step explanation:

A line segment (DE) joining the midpoints of two sides of a triangle is parallel to the third side and half as long. The line segment (ZY) joining a vertex of a triangle to the midpoint of the opposite side is called a median. The medians of a triangle divide its area into six smaller triangles of equal area.