ABCD is a trapezium in which `AB||DC` the diagonals AC and BD are intersecting at E. IF `DeltaAED` is similar to `DeltaBEC`, then prove that AD=BC.

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

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

square ABCD is a trapezium in which AB////CD ,if angleA = 45^@ ,then angleD =

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

ABCD is trapezium in which AB "|| "CD . If AD = BC, show that angle A = angle B and angle C = angle D .

Draw a rhombus ABCD in which diagonals AC= 4.5 cm and BD = 6 cm.

In a rhombus ABCD the diagonals AC and BD intersect at the point (3, 4). If the point A is (1, 2) the diagonal BD has the equation

ABCD is a parallelogram. The diagonals AC and BD intersect each other at ‘O’. Prove that ar(DeltaAOD) = ar(DeltaBOC) . (Hint: Congruent figures have equal area)

ABCD is quadrilateral in which AB |\| DC and AD |\| BC . Find angle b, angle c, angle d .

ABCD is a trapezium in which AB||CD . P and Q are midpoints of bar(AD) and bar(BC) respectively. If AB=10 cm, PQ=8 cm, then CD=____ .