In a trapezoid ABCD,AB||CD,|AB|=4 and `|CD|=10` .Suppose that lines AC and BD intersect at right angle and that lines BC and DA ,when extended to point Q form an angle of `45^(@` ,then area of trapezoid ABCD is

In the trapezium ABCD,AC and BD intersect at O and also AB=2CD If the area of A O B=84 c m^2, find the area of C O Ddot

In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that AC = AB

In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC bisects angle BAD

In the figure above, P and Q are the midpoints of sides AB and BC, respectively, of square ABCD. Line segment PB is extended by its own length to point E, and line segment PQ is extended to point F so that FEbotPE . If the area of square ABCD is 9, what is the area of quadrilateral QBEF?

In the figure, given below, straight lines AB and CD intersect at P, and AC//BD. Prove that : Delta APC and DeltaBPD are similar.

In the following the line ABCD is perpendicular to PQ. P and Q are the centres of the circles Show that: AB=CD

In a trapezium ABCD, if E and F be the mid-points of diagonal AC and BD respectively. Prove that EF=1/2(AB-CD).

In the adjoinig figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angleAEB=60^@ .

In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC is perpendicular bisector of BD

In given figure, ABC is a triangle right angled at B and BD bot AC. If AD=4 cm and CD= 5 cm, then find BD and AB.