Class 9 Maths – Quadrilaterals MCQ

1. How many angles does a quadrilateral have?

a) 2
b) 3
c) 4
d) 5

Answer:

c) 4

Explanation:

By definition, a quadrilateral is a polygon with four angles.

2. The sum of the angles of a quadrilateral is:

a) 180°
b) 270°
c) 360°
d) 450°

Answer:

c) 360°

Explanation:

The sum of all interior angles of a quadrilateral is always 360°.

3. A quadrilateral with opposite sides parallel is called:

a) Trapezium
b) Kite
c) Parallelogram
d) Rhombus

Answer:

c) Parallelogram

Explanation:

A parallelogram has both pairs of opposite sides parallel.

4. Which of the following is not a property of a rectangle?

a) All angles are 90°
b) Opposite sides are equal
c) All sides are equal
d) Opposite sides are parallel

Answer:

c) All sides are equal

Explanation:

Only a square has all sides equal, not a rectangle.

5. A square is a type of:

a) Circle
b) Trapezium
c) Rhombus
d) Triangle

Answer:

c) Rhombus

Explanation:

A square is a special type of rhombus where all angles are 90°.

6. Which quadrilateral has only one pair of opposite sides parallel?

a) Rectangle
b) Square
c) Trapezium
d) Rhombus

Answer:

c) Trapezium

Explanation:

A trapezium is defined by having only one pair of opposite sides parallel.

7. In a parallelogram, if one angle is 60°, the opposite angle is:

a) 30°
b) 60°
c) 120°
d) 90°

Answer:

b) 60°

Explanation:

In a parallelogram, opposite angles are equal.

8. A rhombus with all angles equal to 90° is called:

a) Parallelogram
b) Rectangle
c) Square
d) Trapezium

Answer:

c) Square

Explanation:

A square is a special type of rhombus with all angles measuring 90°.

9. The diagonals of a rectangle are:

a) Equal and bisect each other
b) Unequal and perpendicular
c) Equal and perpendicular
d) Unequal and bisect each other

Answer:

a) Equal and bisect each other

Explanation:

The diagonals of a rectangle are equal in length and bisect each other.

10. Which of the following quadrilaterals has diagonals that are perpendicular bisectors of each other?

a) Parallelogram
b) Trapezium
c) Rhombus
d) Kite

Answer:

c) Rhombus

Explanation:

In a rhombus, the diagonals are perpendicular bisectors of each other.

11. Which quadrilateral has one pair of adjacent sides equal?

a) Kite
b) Rectangle
c) Square
d) Parallelogram

Answer:

a) Kite

Explanation:

A kite is defined by having two pairs of adjacent sides equal.

12. In a square, the diagonals:

a) Are equal and bisect each other
b) Are unequal and bisect each other
c) Are equal and perpendicular
d) Are equal, bisect each other, and are perpendicular

Answer:

d) Are equal, bisect each other, and are perpendicular

Explanation:

In a square, the diagonals have all three mentioned properties.

13. A parallelogram with all sides equal is:

a) Square
b) Rectangle
c) Rhombus
d) Kite

Answer:

c) Rhombus

Explanation:

A rhombus is a parallelogram with all sides equal.

14. The sum of adjacent angles in a parallelogram is:

a) 90°
b) 180°
c) 270°
d) 360°

Answer:

b) 180°

Explanation:

Adjacent angles of a parallelogram are supplementary.

15. A quadrilateral with two pairs of equal adjacent sides is:

a) Parallelogram
b) Square
c) Kite
d) Rhombus

Answer:

c) Kite

Explanation:

A kite has two pairs of equal adjacent sides.

16. Which of the following cannot be a property of a trapezium?

a) Only one pair of opposite sides parallel
b) Both diagonals equal
c) Two right angles
d) Opposite angles equal

Answer:

d) Opposite angles equal

Explanation:

A trapezium doesn't necessarily have opposite angles equal.

17. The diagonals of a kite:

a) Are always equal
b) Always bisect each other
c) Are perpendicular
d) None of the above

Answer:

c) Are perpendicular

Explanation:

The diagonals of a kite are always perpendicular to each other.

18. In which quadrilateral are the opposite angles supplementary?

a) Kite
b) Rhombus
c) Trapezium
d) None of the above

Answer:

d) None of the above

Explanation:

In a parallelogram (not listed in options), opposite angles are supplementary.

19. Which of the following is not a quadrilateral?

a) Triangle
b) Rectangle
c) Trapezium
d) Square

Answer:

a) Triangle

Explanation:

A triangle has three sides, while a quadrilateral has four.

20. Which quadrilateral has both pairs of opposite sides equal and diagonals that bisect each other?

a) Parallelogram
b) Rhombus
c) Kite
d) Trapezium

Answer:

a) Parallelogram

Explanation:

A parallelogram satisfies both given conditions.

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