conditional and converse statements

"If both pairs of opposite sides of a quadrilateral are equal, then the quadrilateral is a parallelogram". The converse statement stated above is a necessary condition for a quadrilateral to be a parallelogram. Similarly, we may formulate the following two other ..

If p and q are two statements, then the compound statement If p then q" is called the compound statement denoted by "p q", p q is false when p is true and q is false..

It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities and their truth table and subsequently we shall learn about ..

If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement..

We know that ..

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 theore..

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..

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

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

Statement - 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..