Mid-Point and Intercept Theorems

Midpoint Theorem: The line segment joining the midpoints of any two sides of a triangle is parallel to the third side and
equal to half of it.

Converse of Midpoint Theorem: The straight line drawn through the middle point of one side of a triangle parallel to another side bisects the third side.

Equal Intercept Theorem: If there are three parallel lines, and the intercepts made by them on one transversal are equal, then the intercepts on any other transversal are also equal.

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