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Practice Class 8 Maths Chapter 3 Understanding Quadrilaterals MCQ Questions with Answers based on NCERT syllabus. Learn polygons, quadrilaterals, angle sum property, exterior angles, parallelogram, rectangle, square, and rhombus with detailed solutions for CBSE exams.
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Chapter Information
Subject: Mathematics
Class: 8
Chapter: Understanding Quadrilaterals
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Moderate to Difficult
Based On: NCERT Latest Syllabus
Introduction:
Understanding Quadrilaterals is an essential chapter in Class 8 Mathematics that helps students understand the properties of polygons and different types of quadrilaterals. Mastering these concepts builds a strong foundation for geometry and higher mathematics.
What You Will Learn?
✔ Polygons
✔ Quadrilaterals
✔ Exterior Angle Property
✔ Angle Sum Property
✔ Parallelogram
✔ Rectangle
✔ Square
✔ Rhombus
Why This Topic Is Important?
Quadrilaterals are used in engineering, architecture, construction, and design. Learning their properties improves logical thinking and helps students solve geometry problems confidently.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Tests
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship Examinations
Q1. The sum of the exterior angles of any polygon is:
A) $$180^\circ$$
B) $$270^\circ$$
C) $$360^\circ$$
D) Depends on the number of sides
Answer:
$$360^\circ$$
Useful Formula for this Question:
The sum of the exterior angles of any polygon is:
$$360^\circ$$
Concept Behind This Question:
Students should know the exterior angle property of polygons.
Step-by-Step Solution:
Regardless of the number of sides, the exterior angles of any polygon always add up to:
$$360^\circ$$
Therefore, the correct answer is:
$$360^\circ$$
Exam Tip:
The exterior angle sum is always $$360^\circ$$.
Q2. A polygon having 8 sides is called:
A) Pentagon
B) Hexagon
C) Heptagon
D) Octagon
Answer:
$$\text{Octagon}$$
Useful Formula for this Question:
A polygon with:
$$8$$ sides is called an Octagon.
Concept Behind This Question:
Students should identify polygons based on the number of sides.
Step-by-Step Solution:
An Octagon has:
- $$8$$ sides
- $$8$$ vertices
- $$8$$ angles
Therefore, the correct answer is:
$$\text{Octagon}$$
Exam Tip:
Remember common polygon names from 3 to 10 sides.
Q3. Which quadrilateral has all sides equal but angles are not necessarily $$90^\circ$$?
A) Rectangle
B) Square
C) Rhombus
D) Trapezium
Answer:
$$\text{Rhombus}$$
Useful Formula for this Question:
Properties of a Rhombus:
- All sides are equal.
- Opposite angles are equal.
Concept Behind This Question:
Students should differentiate between a square and a rhombus.
Step-by-Step Solution:
A rhombus has all sides equal, but its angles are not always right angles.
Therefore, the correct answer is:
$$\text{Rhombus}$$
Exam Tip:
Every square is a rhombus, but every rhombus is not a square.
Q4. Find the sum of the interior angles of a hexagon.
A) $$540^\circ$$
B) $$720^\circ$$
C) $$900^\circ$$
D) $$1080^\circ$$
Answer:
$$720^\circ$$
Useful Formula for this Question:
Sum of interior angles:
$$ (n-2)\times180^\circ $$
Concept Behind This Question:
Students should apply the polygon angle sum formula.
Step-by-Step Solution:
For a hexagon,
$$n=6$$
Therefore,
$$ (6-2)\times180^\circ $$
$$=4\times180^\circ$$
$$=720^\circ$$
Hence, the correct answer is:
$$720^\circ$$
Exam Tip:
Always substitute the correct value of $$n$$ in the formula.
Q5. Which of the following quadrilaterals has only one pair of parallel sides?
A) Square
B) Rectangle
C) Parallelogram
D) Trapezium
Answer:
$$\text{Trapezium}$$
Useful Formula for this Question:
A trapezium has exactly one pair of parallel sides.
Concept Behind This Question:
Students should identify different quadrilaterals based on their properties.
Step-by-Step Solution:
A trapezium has:
- One pair of parallel sides.
- The other pair is not parallel.
Therefore, the correct answer is:
$$\text{Trapezium}$$
Exam Tip:
Only one pair of parallel sides means a trapezium.
Important Formulas & Concepts
1. Sum of Interior Angles of a Polygon
$$ (n-2)\times180^\circ $$
2. Sum of Exterior Angles of Any Polygon
$$360^\circ$$
3. Number of Diagonals
$$\frac{n(n-3)}{2}$$
4. Properties of a Rhombus
- All sides are equal.
- Opposite angles are equal.
- Diagonals bisect each other at right angles.
5. Properties of a Trapezium
- Exactly one pair of opposite sides is parallel.
FAQs
1. What is the sum of the exterior angles of any polygon?
$$360^\circ$$
2. How many sides does an octagon have?
$$8$$
3. Which quadrilateral has all sides equal?
A rhombus and a square.
4. What is the angle sum of a hexagon?
$$720^\circ$$
5. Which quadrilateral has one pair of parallel sides?
A trapezium.
Common Mistakes
❌ Confusing a rhombus with a square.
❌ Forgetting the polygon angle sum formula.
❌ Assuming all equal-sided quadrilaterals are squares.
❌ Using the wrong polygon names.
❌ Incorrectly identifying parallel sides.
Quick Revision Notes
✔ Exterior angle sum of every polygon is $$360^\circ$$.
✔ Hexagon has $$6$$ sides.
✔ Octagon has $$8$$ sides.
✔ Rhombus has all sides equal.
✔ Trapezium has one pair of parallel sides.
✔ Interior angle sum formula:
$$ (n-2)\times180^\circ $$
Conclusion
Understanding Quadrilaterals is an important chapter in Class 8 Mathematics. Learning the properties of polygons and quadrilaterals helps students solve geometry problems accurately and prepares them for advanced mathematical concepts. Regular MCQ practice improves confidence, conceptual understanding, and examination performance.
Related links
- Class 8 Maths Chapter 3 Understanding Quadrilaterals
- Class 8 Maths Chapter 2 Linear Equations in One Variable part-11
- Class 8 Maths Chapter 2 Linear Equations in One Variable – part 10
- Class 8 Maths Chapter 2 Linear Equations in One Variable – Part 9
- Class 8 Maths Chapter 2 Linear Equations in One Variable- Part 8
- Class 8 Maths Chapter 2 Linear Equations in One Variable- Part 7
- Class 8 Maths Chapter 2 Linear Equations in One Variable- Part 6
- Class 8 Maths Chapter 2 Linear Equations in One Variable transposition method- Part 5
- Class 8 Maths Chapter 2 Linear Equations in One Variable – Part 4
- Class8 Maths Chapter2 Transposition method, variables – Part 3
- Class 8 Maths Chapter 1 Rational Numbers- Part 10
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