Prove that `/_1+/_3=/_2+/_4` where ABCD is a quadrilateral.

The angles A, B,C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. Consider the following statements : 1. ABCD is a cyclic quadrilateral. 2. sin (B - A) = cos (D - C). Which of the above statements is/are correct ?

ABCD is a quadrilateral and BD is one of its diagonals, as shown in the figure. Prove that quadrilateral ABCD is a parallelogram, also find its area.

Prove by vector method that the area of the quadrilateral ABCD having diagonals AC and is (1)/(2)|bar(AC)xxbar(BD)|

If ABCD is a quadrilateral then tan((A+B)/(4))

Construct a quadrilateral ABCD with AB=3 cm, AB=3cm, AD=2.7 cm, DB=3.6 cm, angleB=110^(@) and BC=4.2 cm. Construct another quadrilateral A'BC'D' similar to quadrilateral ABCD so that diagonal BD'=4.8 cm.

Let A(3,2),B(3,2),B(-4,1),C(3,1) and D(2,-4) be the vertices of a quadrilateral ABCD CD Find area of the quadrilateral formed by the mid-points of the sides of quadrilatdateral

Let A(3, 2),B(-4, 1), C(-3, 1) and D(2, -4) be the vertices of a quadrilateral ABCD CD Find area of the quadrilateral formed by the mid-points of the sides of quadrilatdateral

Let A(3,2), B(4, 1),C(3,1), and D(2, 4) be the vertices of a quadrilateral ABCD. Find the area of the quadrilateral formed by joining the midpoints of the sides of the quadrilateral ABCD.