Understanding Quadrilaterals

Which of the following properties is true for parallelograms?

• Diagonal are of equal length

• Adjacent sides are equal

• Opposite angles are equal

• All interior angles are right angles

a , b, c, d, e and f are the exterior angles of a hexagon. Then, a +b+c+d+e +f = ?

The angles of a quadrilateral are in the ratio 1 : 4: 6 : 9. Write the measure of each angle.

A rhombus satisfies the properties of both _____ and _____.

• Triangle

• Parallelogram

• Trapezium

• Kite

The diagonals of a rhombus are equal in length and bisect each other at a right angle.

• True

• False

The diagonals of a rectangle and a square are equal in length.

• True

• False

The diagonals of which of the following bisect the interior angles

• Trapezium

• Rhombus

• Kite

• None of these

The diagonals of a parallelogram ABCD intersect at O. Which is always true?

• BO = OD

• AO = OB

Which of the following statements is not always true?

• The diagonals of a rectangle divide the rectangle into four non-overlapping isosceles triangles.

• The diagonals of a square divide square into four non-overlapping right-angled triangles.

• A rhombus is a rectangle.

• A rectangle is a parallelogram.