Class 8 Maths Chapter 3 – Understanding Quadrilaterals: MCQs (Questions and Answers) are available online. These multiple-choice questions are created according to the latest CBSE syllabus 2025-26 and NCERT guidelines. Practicing these questions will help students clearly understand each topic and improve their performance in exams.
You can also practice more and test your understanding of Class 8 Maths Chapter 3 with the provided MCQ PDF.
MCQs on Class 8 Maths Chapter 3 Understanding Quadrilaterals
MCQs for Class 8 Maths Chapter – Understanding Quadrilaterals are provided here. Each question has four options, and only one is correct. Students need to solve the question and choose the right answer.
Certainly! Here is a set of 40 Multiple Choice Questions (MCQs) on Class 8 Maths Chapter 3: Understanding Quadrilaterals, along with their answers:
1. Which of the following is not a quadrilateral?
- A) Square
- B) Rectangle
- C) Triangle
- D) Parallelogram
Answer: C) Triangle
Explanation: A quadrilateral is a four-sided polygon, whereas a triangle has only three sides.
2. Which quadrilateral has two pairs of adjacent sides equal and diagonals that intersect at right angles?
- A) Square
- B) Kite
- C) Rhombus
- D) Rectangle
Answer: B) Kite
Explanation: In a kite, two pairs of adjacent sides are equal, and its diagonals intersect at right angles.
3. Which of the following is a regular quadrilateral?
- A) Square
- B) Trapezium
- C) Kite
- D) Rectangle
Answer: A) Square
Explanation: A square has all sides equal and all angles equal to 90 degrees, making it a regular quadrilateral.
4. If one angle of a parallelogram is 70°, what is the measure of its adjacent angle?
- A) 70°
- B) 90°
- C) 110°
- D) 180°
Answer: C) 110°
Explanation: Adjacent angles of a parallelogram are supplementary. So, 180° – 70° = 110°.
5. The perimeter of a parallelogram with sides 12 cm and 7 cm is:
- A) 21 cm
- B) 42 cm
- C) 19 cm
- D) 38 cm
Answer: D) 38 cm
Explanation: Perimeter = 2 × (12 cm + 7 cm) = 38 cm.
6. In which quadrilateral are the diagonals equal and bisect each other?
- A) Parallelogram
- B) Rhombus
- C) Rectangle
- D) Kite
Answer: C) Rectangle
Explanation: In a rectangle, diagonals are equal and bisect each other.
7. How many diagonals does a quadrilateral have?
- A) 1
- B) 2
- C) 3
- D) 4
Answer: B) 2
Explanation: A quadrilateral has two diagonals connecting opposite vertices.
8. The sum of the interior angles of a quadrilateral is:
- A) 180°
- B) 270°
- C) 360°
- D) 540°
Answer: C) 360°
Explanation: Sum of interior angles = (n-2) × 180°; for n=4, it’s 360°.
9. Which quadrilateral has all sides equal and diagonals that bisect each other at right angles?
- A) Square
- B) Rectangle
- C) Rhombus
- D) Parallelogram
Answer: C) Rhombus
Explanation: In a rhombus, all sides are equal, and diagonals bisect each other at 90°.
10. A quadrilateral with exactly one pair of parallel sides is called:
- A) Parallelogram
- B) Rhombus
- C) Trapezium
- D) Kite
Answer: C) Trapezium
Explanation: A trapezium has only one pair of parallel sides.
11. The diagonals of which quadrilateral are perpendicular but not necessarily equal?
- A) Rectangle
- B) Square
- C) Rhombus
- D) Parallelogram
Answer: C) Rhombus
Explanation: In a rhombus, diagonals are perpendicular but not necessarily equal.
12. In a parallelogram, opposite angles are:
- A) Complementary
- B) Supplementary
- C) Equal
- D) Right angles
Answer: C) Equal
Explanation: Opposite angles in a parallelogram are always equal.
13. The sum of the exterior angles of any polygon is:
- A) 180°
- B) 270°
- C) 360°
- D) 540°
Answer: C) 360°
Explanation: The sum of exterior angles of any polygon is always 360°.
14. Which quadrilateral has diagonals that are equal and bisect each other at right angles?
- A) Rectangle
- B) Rhombus
- C) Square
- D) Parallelogram
Answer: C) Square
Explanation: In a square, diagonals are equal and bisect each other at 90°.
15. In a parallelogram, adjacent angles are:
- A) Equal
- B) Complementary
- C) Supplementary
- D) Right angles
Answer: C) Supplementary
Explanation: Adjacent angles in a parallelogram add up to 180°.
16. A quadrilateral with all sides and angles equal is a:
- A) Rectangle
- B) Rhombus
- C) Square
- D) Parallelogram
Answer: C) Square
Explanation: A square has all sides and angles equal.
17. The number of diagonals in a pentagon is:
- A) 5
- B) 7
- C) 10
- D) 2
Answer: A) 5
Explanation: Number of diagonals = n(n-3)/2; for n=5, it’s 5.
18. In a rhombus, diagonals:
- A) Are equal
- B) Bisect each other at right angles
- C) Are perpendicular but not equal
- D) Both B and C
Answer: D) Both B and C
Explanation: Diagonals of a rhombus bisect each other at 90° but are not equal.
Certainly! Continuing from the previous set, here are MCQs 19 to 40 on Class 8 Maths Chapter 3: Understanding Quadrilaterals, along with their answers and explanations:
19. If the three angles of a quadrilateral are 80°, 90°, and 85°, what is the measure of the fourth angle?
- A) 95°
- B) 105°
- C) 100°
- D) 110°
Answer: C) 100°
Explanation: The sum of interior angles of a quadrilateral is 360°. So, 360° – (80° + 90° + 85°) = 100°.
20. Which quadrilateral has opposite sides parallel and all angles equal to 90°?
- A) Rhombus
- B) Rectangle
- C) Parallelogram
- D) Kite
Answer: B) Rectangle
Explanation: A rectangle has opposite sides parallel and all angles equal to 90°.
21. In which quadrilateral are the diagonals equal but do not bisect at right angles?
- A) Square
- B) Rhombus
- C) Rectangle
- D) Parallelogram
Answer: C) Rectangle
Explanation: In a rectangle, diagonals are equal but do not intersect at right angles.
22. A parallelogram with all sides equal and angles not equal to 90° is called:
- A) Square
- B) Rectangle
- C) Rhombus
- D) Trapezium
Answer: C) Rhombus
Explanation: A rhombus has all sides equal but angles are not necessarily 90°.
23. The diagonals of a rectangle:
- A) Are equal and bisect each other
- B) Are unequal and bisect each other
- C) Are equal and do not bisect each other
- D) Are unequal and do not bisect each other
Answer: A) Are equal and bisect each other
Explanation: In a rectangle, diagonals are equal and bisect each other.
24. Which quadrilateral has one pair of opposite sides parallel and the other pair non-parallel?
- A) Parallelogram
- B) Rhombus
- C) Trapezium
- D) Kite
Answer: C) Trapezium
Explanation: A trapezium has one pair of opposite sides parallel and the other pair non-parallel.
25. In a parallelogram, if one angle is 60°, what is the measure of its opposite angle?
- A) 60°
- B) 120°
- C) 90°
- D) 180°
Answer: A) 60°
Explanation: Opposite angles in a parallelogram are equal.
26. Which quadrilateral has diagonals that bisect each other but are not equal?
- A) Rectangle
- B) Square
- C) Parallelogram
- D) Rhombus
Answer: C) Parallelogram
Explanation: In a parallelogram, diagonals bisect each other but are not necessarily equal.
27. The sum of the interior angles of a pentagon is:
- A) 360°
- B) 540°
- C) 720°
- D) 900°
Answer: B) 540°
Explanation: Sum of interior angles = (n-2) × 180°; for n=5 (pentagon), it’s 540°.
28. A quadrilateral with two pairs of adjacent sides equal and no sides parallel is called:
- A) Parallelogram
- B) Rhombus
- C) Kite
- D) Trapezium
Answer: C) Kite
Explanation: A kite has two pairs of adjacent sides equal with no sides parallel.
29. In a rhombus, the diagonals:
