preparation for converse of a theorem

Any point (or every point) on the perpendicular bisector of the line segment joining two given points is equidistant from them..

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..

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 adjacent angles are supplementary, then their exterior arms lie in a straight lin..

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 D. ABC is a triangle, the bisector of meets AB at X. A point Y lies on CX such that AX = AY. Prove that ..

Now consider the converse of this theorem..

If the diagonals of a parallelogram are perpendicular then it is a rhombu..

If a transversal intersects two lines in such a way that a pair of alternate interior angles are equal, then the two lines are paralle..

If a transversal intersects two lines in such a way that a pair of alternate interior angles are equal, then the two lines are paralle..