Midpoint Theorem

	Introduction
	We can prove some more properties of triangles using the properties of parallelograms seen in the previous chapter. We find that the line segment joining the mid points of any two sides of the triangle is parallel to the third side and is equal to half of it. We prove this in the mid point theorem.
	Midpoint Theorem
	The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side.
	Converse of Mid-Point Theorem
	The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side.
	The Intercept Theorem
	If a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts.
	Basic Proportionlity Theorem
	A line parallel to one side of a triangle divides the other two sides into parts of equal proportion.
	Summary
	Midpoint Theorem : The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side.
	Question and Answers

Midpoint Theorem

	Introduction
	Midpoint Theorem
	Converse of Mid-Point Theorem
	The Intercept Theorem
	Basic Proportionlity Theorem
	Summary
	Question and Answers

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