ABCD is trapezium in which `AB"||"CD`. If `AD =BC`, show that `angleA=angleB` and `angleC=angleD`.

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C

AB and CD are respec­tively the smallest and longest sides of a quadrilateral ABCD (see th e given figure). Show that angle A gt angle C and angle B gt angle D

ABCD is a quadrilateral in which AD = BC and angle DAB = angle CBA (see the given figure). Prove that ( i ) triangle ABD = triangle BAC, ( ii) BD = AC and (iii) angle ABD = angle BAC

For the figure given below, prove that angleADC=angleA+angleB+angleC .

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

ABCD is a trapezium in which AB||DC and its diagonals intersects each other at the point O. Show that (AO)/(BO)=(CO)/(DO) .

Let ABCD be a trapezium ,in which AB is parallel to CD, AB =11 ,BC=4,CD=6 and DA=3. the distance between AB and CD is

ABCD is a trapezium with AB||DC . E and F are points on non-parallel sides Ad and BC respectively such that EF is parallel to AB (see the given figure). Show that (AE)/(ED)=(BF)/(FC) .

ABCD is a trapezium with AB||DC . E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB (see the figure). Show that (AE)/(ED)=(BF)/(FC)

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.