In given figure, AC=AE, AB=AD and `angleBAD = angleEAC`. Show that BC = DE.

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

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

In the given figure, angleB lt angleA and angleC lt angleD . Show that AD lt BC .

In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

In the Given figure, E is any point on median AD of a triangle ABC Show that ar (ABE) = ar (ACE)

In the given figure, AB, BC and Ac are tangents to the circle at P,Q and R. If AB = AC, show that Q is the mid-point of BC.

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

In the given figure sides AB and AC of triangleABC , are extended to point P and Q respectively. Also anglePBC lt angleQCB . Show that AC gt AB .

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

In the given figure if AB || DE, angleBAC = 35^(@) and angleCDE = 53^(@) , find angleDCE.