Show that the diagonals of a rectangle are of equal length.

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 of a Rhombus are equal then it is a ______

Fill in the Blanks:The diagonals of a square are equal and__________each other.

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

Diagonals are equal in a

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

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

(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?