In a Figure AB and CD are intersecting at ‘O’, OA = OB and OD = OC. Show that
`AD "||" BC`.

If AB and CD are intersecting at ‘O’, OA = OB and OD = OC. Show that triangle AOD ~= triangle BOC

In an isosceles triangle ABC, with AB=AC, the bisectors of /_B and /_C intersect each other at O. Join A to O. Show that: OB=OC

In the adjacent figure, there are two concentric circles with centre ‘O’. Chord AD of the bigger circle intersects the smaller circle at B and C. Show that AB = CD.

In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A

In the adjacent figure , AC=AE,AB =AD and angle BAD =angle EAC . Show that BC= DE.

In the figures given below AB || CD. EF is the transversal intersecting AB and CD at G and H respectively. Find the values of x and y. Give reasons

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 adjacent figure, we have BX = 1/2 AB, BY = 1/2 BC and AB=BC. Show that BX = BY.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE

The vetices of a triangle are O(0, 0), B(-3, -1), C(-1, -3). The equation of the line parallel to BC and intersecting the sides OB and OC whose perpendicular distance from O is 1//2 is