theorem 2 converse of theorem 1

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

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..

Theorem 2 (Converse of Theorem 1) - If two angles of a triangle are equal, the sides opposite to these angles are equal. In AB = AC Draw AD, the bisector of to meet BC at ..

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 ..

Sum of the angles of a triangle is equal to two right angle..

If two lines intersect, then the vertically opposite angles are congruen..

The inverse of a square matrix if it exists, is unique. Let A be an invertible square matrix. If possible, let B and C be two inverse of A. Then AB = BA = I. AC = CA = I (by def. of inverse) Now, B = BI = B(AC) = (BA)C [ Matrix multiplication is associative] = IC = C i.e., B = C Hence t..

The number of circular permutations of n different objects is (n-1)..

Theorem - Sum of the angles of a triangle is equal to two right angles. ABC is a triangle A + B + ACB = 180 o Produce BC to D. Through C draw CE || B..