intersection theorems

If two lines intersect, then the vertically opposite angles are congruen..

To determine the incentre of a triangle, it is just sufficient to find the point of intersection of its two angles. The third angle bisector is bound to pass through it by virtue of the below theorem..

If a transversal intersects two parallel lines, then each pair of alternate angles are equa..

If a transversal intersects two parallel lines, then each pair of alternate angles are equa..

To determine the circumcentre of a triangle, it is just sufficient to find the point of intersection of any two perpendicular bisectors of the sides of a triangle.&g..

Statement - The locus of a point equidistant from two intersecting lines is the pair of lines bisecting the angles formed by the given line..

Statement - If two lines intersect, then the vertically opposite angles are congruen..

The number of radians in angle subtend by an arc of a circle at the Let . Now draw a circle of radius r which intersect OP at A and OQ at C. Consider an arc AB on the circle, so that the length of the arc and the length of radius are both equal to r. Draw OB. Then by definition of..

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