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. ..
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. ..Converse of Pythagoras' Theorem
If the square on one side of a triangle is equal to the sum of the squares on the other two sides, the angle contained by these two sides is a right angle. In D ABC, if BC 2 = AB 2 + AC 2 then, A is a right ang..
If the square on one side of a triangle is equal to the sum of the squares on the other two sides, the angle contained by these two sides is a right angle. In D ABC, if BC 2 = AB 2 + AC 2 then, A is a right ang..Converse of Theorem2
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..
Converse of Theorem 2
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..
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..Theorem
If A and B are two invertible matrices of the same order, then (AB) - 1 = B - 1 A - 1..
Theorem
The length of the line segment AB, which joins A (x 1 , y 1 ) and B (x 2 , y 2 ) is given by ..
The length of the line segment AB, which joins A (x 1 , y 1 ) and B (x 2 , y 2 ) is given by ..Theorem:
If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that In figure (i), A < 90 o But from D BAE, we have In figure (ii), A > 90 o But from D BAE, we hav..
If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that In figure (i), A < 90 o But from D BAE, we have In figure (ii), A > 90 o But from D BAE, we hav..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..
Result
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