Class 8 Maths Chapter 3 MCQs – Understanding Quadrilaterals

Geometry in Class 8 becomes more exciting with Chapter 3 – Understanding Quadrilaterals, where students learn about polygons, diagonals, and properties of quadrilaterals. To make this chapter easier, we’ve provided Class 8 Maths Chapter 3 MCQs with answers prepared according to the latest CBSE syllabus (2025–26) and the NCERT textbook. Practicing these Understanding Quadrilaterals Class 8 MCQs will help students recall formulas, understand properties of parallelograms and special quadrilaterals, and improve their problem-solving speed in exams. A free PDF of Class 8 Quadrilaterals MCQs with answers is also available for offline practice.

Overview of Class 8 Quadrilaterals

A quadrilateral is a polygon with four sides and four angles. In this chapter, students study:

• Angle sum property of quadrilaterals
• Properties of special quadrilaterals such as parallelograms, rhombus, trapezium, and kite
• Polygons and diagonals – classification and properties
• Application-based problems using these properties

By solving Class 8 Understanding Quadrilaterals MCQs, students can strengthen their basics in geometry, score better in CBSE exams, and prepare for competitive tests like Olympiads.

Chapter 3: Understanding Quadrilaterals – MCQs

Basic Conceptual MCQs

1. A quadrilateral has how many sides?
   a) 3
   b) 4
   c) 5
   d) 6
   Answer: b) 4
2. The sum of all interior angles of a quadrilateral is:
   a) 90°
   b) 180°
   c) 270°
   d) 360°
   Answer: d) 360°
3. The sum of all exterior angles of a polygon is always:
   a) 90°
   b) 180°
   c) 270°
   d) 360°
   Answer: d) 360°
4. A polygon with 10 sides is called:
   a) Nonagon
   b) Decagon
   c) Hexagon
   d) Octagon
   Answer: b) Decagon
5. The number of diagonals of a quadrilateral is:
   a) 1
   b) 2
   c) 3
   d) 4
   Answer: b) 2

Polygons & Classification

1. A polygon with 7 sides is called:
   a) Hexagon
   b) Heptagon
   c) Octagon
   d) Nonagon
   Answer: b) Heptagon
2. Formula for the sum of interior angles of an n-sided polygon is:
   a) (n – 2) × 90°
   b) (n – 2) × 180°
   c) (n – 1) × 180°
   d) n × 180°
   Answer: b) (n – 2) × 180°
3. A regular polygon has:
   a) Equal sides only
   b) Equal angles only
   c) Both equal sides and equal angles
   d) None
   Answer: c) Both equal sides and equal angles
4. The measure of each interior angle of a regular hexagon is:
   a) 90°
   b) 120°
   c) 135°
   d) 150°
   Answer: b) 120°
5. The number of diagonals in a hexagon is:
   a) 6
   b) 9
   c) 12
   d) 15
   Answer: b) 9

Properties of Quadrilaterals

1. A parallelogram has:
   a) Opposite sides equal
   b) Opposite angles equal
   c) Diagonals bisect each other
   d) All of the above
   Answer: d) All of the above
2. A rhombus has:
   a) All sides equal
   b) Diagonals bisect at right angles
   c) Opposite angles equal
   d) All of the above
   Answer: d) All of the above
3. A square is a special case of:
   a) Rectangle
   b) Rhombus
   c) Both rectangle and rhombus
   d) Trapezium
   Answer: c) Both rectangle and rhombus
4. A trapezium has:
   a) Two parallel sides
   b) All sides equal
   c) Opposite sides parallel
   d) No parallel sides
   Answer: a) Two parallel sides
5. In a kite:
   a) Two pairs of adjacent sides are equal
   b) Opposite angles are equal
   c) Diagonals are equal
   d) Opposite sides are parallel
   Answer: a) Two pairs of adjacent sides are equal

Angle Properties

1. The sum of interior angles of a hexagon is:
   a) 540°
   b) 720°
   c) 900°
   d) 1080°
   Answer: b) 720°
2. Each exterior angle of a regular octagon measures:
   a) 30°
   b) 36°
   c) 45°
   d) 60°
   Answer: b) 45°
3. In a parallelogram, adjacent angles are:
   a) Equal
   b) Supplementary
   c) Complementary
   d) None
   Answer: b) Supplementary
4. The sum of angles of a pentagon is:
   a) 360°
   b) 540°
   c) 720°
   d) 900°
   Answer: b) 540°
5. Each interior angle of a regular decagon is:
   a) 108°
   b) 120°
   c) 144°
   d) 150°
   Answer: c) 144°

Application-Based MCQs

1. If one angle of a parallelogram is 70°, its adjacent angle is:
   a) 70°
   b) 110°
   c) 120°
   d) 130°
   Answer: b) 110°
2. If each interior angle of a regular polygon is 150°, the polygon has:
   a) 10 sides
   b) 12 sides
   c) 15 sides
   d) 18 sides
   Answer: c) 12 sides
3. The diagonals of a rectangle are always:
   a) Equal and bisect each other
   b) Unequal
   c) Perpendicular
   d) None
   Answer: a) Equal and bisect each other
4. The diagonals of a rhombus are:
   a) Equal
   b) Unequal
   c) Perpendicular bisectors
   d) Parallel
   Answer: c) Perpendicular bisectors
5. A quadrilateral with one pair of parallel sides is called:
   a) Square
   b) Trapezium
   c) Rhombus
   d) Kite
   Answer: b) Trapezium

Higher-Order Thinking

1. If each exterior angle of a polygon is 60°, then the polygon is:
   a) Triangle
   b) Quadrilateral
   c) Pentagon
   d) Hexagon
   Answer: d) Hexagon
2. Number of sides of a polygon whose sum of interior angles is 1260° is:
   a) 7
   b) 8
   c) 9
   d) 11
   Answer: d) 9
3. In a parallelogram ABCD, if ∠A = 80°, then ∠C = ?
   a) 80°
   b) 100°
   c) 90°
   d) 120°
   Answer: a) 80°
4. In a quadrilateral, if three angles are 90°, the fourth angle is:
   a) 60°
   b) 80°
   c) 90°
   d) 100°
   Answer: c) 90°
5. The diagonals of a square are:
   a) Equal but not perpendicular
   b) Perpendicular but not equal
   c) Equal and perpendicular
   d) None
   Answer: c) Equal and perpendicular
6. A convex polygon cannot have:
   a) Interior angle < 180°
   b) Interior angle = 180°
   c) Interior angle > 180°
   d) None
   Answer: c) Interior angle > 180°
7. How many diagonals does a decagon have?
   a) 35
   b) 40
   c) 45
   d) 50
   Answer: a) 35
8. The number of diagonals in a pentagon is:
   a) 5
   b) 7
   c) 10
   d) 12
   Answer: a) 5
9. In a quadrilateral, the sum of opposite angles is 180°. The quadrilateral must be:
   a) Trapezium
   b) Rhombus
   c) Parallelogram
   d) Kite
   Answer: c) Parallelogram
10. The smallest polygon is:
    a) Triangle
    b) Quadrilateral
    c) Pentagon
    d) Hexagon
    Answer: a) Triangle

Mixed Concept MCQs

1. Each angle of a square is:
   a) 60°
   b) 90°
   c) 120°
   d) 180°
   Answer: b) 90°
2. A regular polygon has each interior angle 135°. Number of sides = ?
   a) 6
   b) 8
   c) 10
   d) 12
   Answer: b) 8
3. A polygon with maximum diagonals among the given is:
   a) Pentagon
   b) Hexagon
   c) Octagon
   d) Decagon
   Answer: d) Decagon
4. A quadrilateral with diagonals unequal but bisect each other is:
   a) Rectangle
   b) Rhombus
   c) Square
   d) Parallelogram
   Answer: a) Rectangle
    
5. The sum of the measures of exterior angles of a polygon with 15 sides is:
   a) 180°
   b) 270°
   c) 360°
   d) 540°
   Answer: c) 360°

Importance of Solving Chapter 3 MCQs

Practicing Class 8 Maths Chapter 3 – Understanding Quadrilaterals MCQs is essential because geometry forms the foundation for higher-level mathematics. These questions test conceptual clarity on properties of polygons, diagonals, angle sum property, and types of quadrilaterals like parallelogram, trapezium, kite, rhombus, and square. By solving Understanding Quadrilaterals Class 8 MCQs with answers, students learn to apply formulas quickly, identify weak concepts, and prepare more effectively for CBSE exams, Olympiads, and NTSE. Regular MCQ practice also helps in developing accuracy, logical thinking, and speed during exams.

Tips to Solve Class 8 Maths MCQs on Quadrilaterals Effectively

Here are some simple yet powerful tips that will help students solve Class 8 Quadrilaterals MCQs with confidence and accuracy:

• Revise angle sum property: Remember that the sum of interior angles of a quadrilateral is always 360°. This fact is frequently tested in CBSE exam MCQs.
• Learn properties of special quadrilaterals: Pay extra attention to parallelogram, rhombus, square, rectangle, trapezium, and kite. MCQs often check if you can recall which shapes have equal sides, equal diagonals, or perpendicular diagonals.
• Practice polygon formulas: Revise the formula for the sum of interior angles = (n – 2) × 180° and the formula for diagonals n(n – 3)/2.
• Solve previous year CBSE MCQs: Many Class 8 exam questions are framed around the same standard problems from NCERT exercises.
• Attempt time-bound practice: Solve a set of Class 8 Quadrilaterals MCQs PDF worksheets within 15–20 minutes to build exam speed and accuracy.
• Focus on diagrams: Draw rough sketches while solving geometry MCQs—it reduces confusion about sides, diagonals, and angles.
• Revise regularly: Spend 10–15 minutes revising formulas and properties daily instead of cramming before exams.