The diagonals of the quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Draw a rough figure to justify your answers.

Show that the diagonals of a rhombus are perpendicular to each other.

If the diagonals of a quadrilateral bisect each other then it is a

The quadrilateral in which the dlagonals are equal but not perpendicular to each other is

The four angles of a quadrilateral are equal. Draw this quadrilateral and Find the value of each of them.

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

IF the diagonals in a quadrilateral divide each other proportionally then it is…….

State whether the following sentences are always true, always false or ambiguous. Justify your answer Dogs can fly.

(i) Is quadrilateral EFGH a convex quadrilateral? (ii) Is quadrilateral TUVW a concave quadrilateral? (iii) Draw both the diagonals for quadrilateral EFGH. Do they intersect each other? (iv) Draw both the diagonals for quadrilateral TUVW. Do they intersect each other?

The diagonals of a quadrilateral ABCD intersect each other at point'O' such that (AO)/(BO)=(CO)/(DO) . Prove that ABCD is a trapezium.

Lokesh said,"Each angle in any pair of complementary angles is always acute do you agree justify your answer.