Question

ABCD is a rectangle formed by the points A (−1, −1), B (−1, 6), C (3, 6) and D (3, −1). P, Q, R and S are mid-points of sides AB, BC, CD and DA respectively. Show that diagonals of the quadrilateral PQRS bisect each other.

If the points A(6, 1), B(p, 2), C(9, 4) and D(7, q) are the vertices of a parallelogram ABCD, then find the values of p and q. Hence, check whether ABCD is a rectangle or not.

The three vertices of a parallelogram ABCD are A (3, -4), B (-1, -3) and C (-6, 2). Find the coordinates of vertex D.

In a classroom four friends are seated at point A, B, C and D as shown in figure Champa and Chameli Walk into the class and after observing for a few minutes Champa asks some questions to Chameli,

Show that the four points A(0, –1), B(6, 7), C(– 2, 3) and D(8, 3) are the vertices of a rectangle ABCD.