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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, Half, Incenter, Divide
b) Perpendicular, Equal, Vertex, Double
c) Parallel, Double, Circumcenter, Quadruple
d) Equal, Twice, Centroid, Triple

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Final answer:

A line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half as long. The line segment 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.

Step-by-step explanation:

A line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half as long.

The line segment 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.

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