ABCD is a parallelogram as shown.
Find x and y.

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

ABCD is a parallelogram and AP and CQ are perpendiculars from vertex A and C on diagonal BD. Show that (i) DeltaAPB~=DeltaCQD (ii) AP=CQ .

ABCD is a parallelogram and angleA = 60^(@) . Find the remaining angles.

ABCD is a parallelogram, E is the mid-point of AB and CE bisects angleBCD . Then angleDEC is

ABCD is a parallelogram with A as the origin. vec b and vec d are the position vectors of B and D respectively. a.What is the position vector of C? (b) What is the angle between vec(AB) and vec (AD) ? (c) Find vec(AC) (d) If |vec(AC)| = |vec (BD)| , show that ABCD is rectangle.

If the points A(2, 2), B(-2, -3), C(1, -3) and D(x, y) form a parallelogram then find the value of x and y.

ABCD is parallelogram and ABEF is a rectangle and DG is perpendicular on AB. Prove that (i) ar (ABCD) = ar(ABEF) (ii) ar (ABCD) = AB xx DG

If ABCD is a parallelogram then vec(AB) + vec(AD) + vec(CB) + vec(CD) = …………………… .