Converse of a Theorem
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..
Converse of a 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..
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..Theorem 2 (Converse of Theorem 1)
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..
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..Theorem2 (Converse of Theorem 1)
If two adjacent angles are supplementary, then their exterior arms lie in a straight lin..
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 D. ABC is a triangle, the bisector of meets AB at X. A point Y lies on CX such that AX = AY. Prove that ..
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 ..Converse of Theorem 4
Now consider the converse of this theorem..
Converse of Theorem3
If a transversal intersects two lines in such a way that a pair of consecutive interior angles are supplementary, then the two lines are paralle..
Converse of Theorem3
If a transversal intersects two lines in such a way that a pair of consecutive interior angles are supplementary, then the two lines are paralle..
Converse of Theorem6
If in a parallelogram, the diagonals are equal and perpendicular, then it is a squar..
Converse of Theorem4
If two diagonals of a parallelogram are equal, it is a rectangl..
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