converse of midpoint theorem

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. In ABC, P is the mid-point of AB and PQ || BC. AQ = CQ Draw CR || BA to meet PQ produced at ..

The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third sid..

Statement - A straight line drawn through the mid-point of one side and parallel to another side of a triangle bisects the third sid..

Any point on the bisectors of one of the angles formed by two intersecting lines is equidistant form the lines..

Converse of a Theorem is the transposition of a statement consisting of 'data' and 'to prove' 'Data' becomes 'To Prove' and 'To prove' becomes 'Data' in the converse theorem..

If two statements are such that the hypothesis of one is the conclusion of the other and vice-versa then either of the statement is said to be the converse of the other..

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..

Theorem 2 (Converse of Theorem 1) - If two adjacent angles are supplementary, then their exterior arms lie in a straight line. are adjacent angles. AOB is a straight lin..

A Corollary is an easy consequence of a theorem. It two lines intersect, then the vertically opposite angles so formed are equal, and When a number of lines meet at a point, the sum of the angles so formed is four right angle..

If two angles of a triangle are equal, the sides opposite to these angles are equa..