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

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

Draw the perpendicular bisector of a given line segment AB and write justification.

In Delta ABC , AD is the perpendicular bisector of BC. Show that Delta ABC is an isoscelss tringle in which AB = AC.

In, ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

In the given figure, ABC and ABD are two triangles on the same base AB . If line - segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD)

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 altiude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects A.

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

In DeltaABC and DeltaDEF , AB= DE, AB abs DE, BC= EF and BC abs EF . Vertices A, B and C are joined to vertices D, E and F respectively. Show that AD abs CF and AD = CF