AD and BC are equal and perpendiculars to a line segment AB. Show that CD bisects AB.

Draw the perpendicular bisector of a given line segment AB=7cm.

Draw the perpendicular bisector of a given line segment AB=6cm.

Draw the perpendicular bisector of a given line segment AB=8cm.

In a quadrillateral ABCD, it is given that AB ||CD and the diagonals AC and BD are perpendiclar to each other . Show that AD. BC = AB. CD.

Two triangles ABC and ABD of equal areas are on the opposite sides of AB. Prove that AB bisects CD equally.

In DeltaABC , AD is the perpendicular bisector of BC (See adjacent figure). Show that DeltaABC is an isosceles triangle in which AB = AC.

AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

In the figure, ΔABC and ΔABD are two triangles on the same base AB. If line segment CD is bisected by bar(AB) at O, show that ar (DeltaABC) = ar (DeltaABD).