The diagonals of a quadrilateral bisects each other at right angles. Show that the quadrilateral is a rhombus.

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

Identify all the quadrilaterals that have. four right angles

Name the quadrilaterals whose diagonals. bisect each other

What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make non-convex quadrilateral and try!)

Prove that the sum of the measures of four angles of a quadrilateral is 360^@ .

How many diagonals does each of the following have? A convex quadrilateral.

Prove that the perimeter of any quadrilateral is greater than the sum of the diagonals.

The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 13m.Find the area of the field.

Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angle triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides.

Name the quadrilaterals whose diagonals. are equal