preparation for converse of theorem2

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 2 (Converse of Theorem 1) - If two adjacent angles are supplementary, then their exterior arms lie in a straight line. are adjacent angles. AOB is a straight lin..

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 angles of a triangle are equal, the sides opposite to these angles are equa..

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 ..

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

A transversal cuts two lines. If the allied angles are supplementary, then the lines are parallel. If or , in the following figure then AB is parallel to CD...

A transversal intersects two lines and if the corresponding angles are equal, then the lines are parallel. If any one pair of corresponding angles are equal, then AB is parallel to C..

Let f and g be real valued functions defined on an interval containing c such that exist. Then The following statement is not true. f(x) < g(x) for all x..

(First Derivative Test) Let f (x) be a real valued differentiable function. Let a be a point on an interval I such that f '(a) = 0. (a) a is a local maxima of the function f (x) if i) f (a) = 0 ii) f (x) changes sign from positive to negative as x increases through a. That is, f (x) > 0 for x &l..