Understanding Quadrilaterals-Sample Papers

1.  State whether True or False.

(8 Marks)

      (a)  All rectangles are squares.

      (b)  All rhombuses are parallelograms.

      (c)  All square are rhombuses and also rectangles.

      (d)  All squares are not parallelograms.

      (e)  All kites are rhombuses.

      (f)  All rhombuses are kites.

      (g)  All parallelograms are trapeziums.

      (h)  All squares are trapeziums.

2.  PQRS is a parallelogram such that m∠R = 110°, then find m∠P and ∠S.

(2 Marks)

3.  Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.

(3 Marks)

4.  JKLM is a parallelogram. If m∠J = 70°, then find all other angles.

(3 Marks)

5.  5. The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides the polygon has?

(4 Marks)

6.  In a quadrilateral ABCD, DO and CO are the bisectors of ∠D and ∠C respectively. Prove that

(5 Marks)