Welcome To My School Study
Practice Class 8 Maths Chapter 3 Understanding Quadrilaterals MCQ Questions with Answers based on NCERT syllabus. Learn polygons, quadrilaterals, angle sum property, parallelogram, rectangle, square, and trapezium with detailed solutions for CBSE exams.
Do You Know
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 important geometry chapter in Class 8 Mathematics. It introduces students to polygons, quadrilaterals, angle properties, and special types of quadrilaterals. These concepts help build a strong foundation for higher geometry.
What You Will Learn?
✔ Polygons
✔ Quadrilaterals
✔ Angle Sum Property
✔ Parallelogram
✔ Rectangle
✔ Square
✔ Rhombus
✔ Trapezium
Why This Topic Is Important?
Quadrilaterals and polygons are widely used in geometry, architecture, engineering, and design. Understanding their properties helps students solve geometrical problems efficiently.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Tests
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship Examinations
Q1. How many sides does a quadrilateral have?
A) $$3$$
B) $$4$$
C) $$5$$
D) $$6$$
Answer:
$$4$$
Useful Formula for this Question:
A quadrilateral is a polygon with:
$$4 \text{ sides}$$
Concept Behind This Question:
Students should know the basic definition of a quadrilateral.
Step-by-Step Solution:
A quadrilateral is formed using:
- $$4$$ sides
- $$4$$ vertices
- $$4$$ angles
Therefore, the correct answer is:
$$4$$
Exam Tip:
The word “quad” means four.
Q2. Find the sum of interior angles of a quadrilateral.
A) $$180^\circ$$
B) $$270^\circ$$
C) $$360^\circ$$
D) $$540^\circ$$
Answer:
$$360^\circ$$
Useful Formula for this Question:
Sum of interior angles of a quadrilateral:
$$360^\circ$$
Concept Behind This Question:
Students should know the angle sum property of quadrilaterals.
Step-by-Step Solution:
A quadrilateral can be divided into two triangles.
Sum of angles in one triangle:
$$180^\circ$$
Therefore:
$$180^\circ + 180^\circ = 360^\circ$$
Hence, the correct answer is:
$$360^\circ$$
Exam Tip:
Every quadrilateral has interior angle sum equal to $$360^\circ$$.
Q3. A polygon with 5 sides is called:
A) Hexagon
B) Pentagon
C) Quadrilateral
D) Octagon
Answer:
$$\text{Pentagon}$$
Useful Formula for this Question:
Polygon names:
- $$5$$ sides → Pentagon
- $$6$$ sides → Hexagon
Concept Behind This Question:
Students should identify polygons based on number of sides.
Step-by-Step Solution:
A polygon having:
$$5$$ sides
is called a:
$$\text{Pentagon}$$
Therefore, the correct answer is:
$$\text{Pentagon}$$
Exam Tip:
Remember common polygon names for exams.
Q4. Which quadrilateral has opposite sides equal and parallel?
A) Kite
B) Trapezium
C) Parallelogram
D) Pentagon
Answer:
$$\text{Parallelogram}$$
Useful Formula for this Question:
In a parallelogram:
- Opposite sides are equal.
- Opposite sides are parallel.
Concept Behind This Question:
Students should know properties of special quadrilaterals.
Step-by-Step Solution:
A parallelogram has:
- Opposite sides equal
- Opposite sides parallel
- Opposite angles equal
Therefore, the correct answer is:
$$\text{Parallelogram}$$
Exam Tip:
Parallel + Equal opposite sides = Parallelogram.
Q5. How many diagonals does a quadrilateral have?
A) $$1$$
B) $$2$$
C) $$3$$
D) $$4$$
Answer:
$$2$$
Useful Formula for this Question:
Number of diagonals:
$$\frac{n(n-3)}{2}$$
Concept Behind This Question:
Students should identify diagonals in quadrilaterals.
Step-by-Step Solution:
For a quadrilateral:
$$n=4$$
Using formula:
$$\frac{4(4-3)}{2}$$
$$=\frac{4}{2}$$
$$=2$$
Therefore, the correct answer is:
$$2$$
Exam Tip:
A quadrilateral always has exactly two diagonals.
Important Formulas & Concepts
1. Sum of Interior Angles of a Quadrilateral
$$360^\circ$$
2. Sum of Interior Angles of an n-sided Polygon
$$ (n-2)\times180^\circ $$
3. Number of Diagonals in a Polygon
$$\frac{n(n-3)}{2}$$
4. Properties of a Parallelogram
- Opposite sides are equal.
- Opposite sides are parallel.
- Opposite angles are equal.
5. Properties of a Rectangle
- Opposite sides are equal.
- All angles are $$90^\circ$$.
FAQs
1. What is a quadrilateral?
A quadrilateral is a polygon having:
$$4$$ sides.
2. What is the angle sum of a quadrilateral?
$$360^\circ$$
3. How many diagonals does a quadrilateral have?
$$2$$
4. What is a polygon?
A closed figure made of line segments.
5. What is a parallelogram?
A quadrilateral whose opposite sides are equal and parallel.
Common Mistakes
❌ Confusing quadrilateral with pentagon.
❌ Forgetting the angle sum property.
❌ Incorrectly counting diagonals.
❌ Mixing rectangle and square properties.
❌ Using wrong polygon names.
Quick Revision Notes
✔ Quadrilateral has $$4$$ sides.
✔ Interior angle sum is $$360^\circ$$.
✔ Pentagon has $$5$$ sides.
✔ Quadrilateral has $$2$$ diagonals.
✔ Opposite sides of a parallelogram are equal and parallel.
✔ Polygon angle sum formula:
$$ (n-2)\times180^\circ $$
Conclusion
Understanding Quadrilaterals is an important chapter in Class 8 Mathematics. A strong understanding of polygons, quadrilaterals, diagonals, and angle properties helps students solve geometry problems efficiently and prepares them for advanced mathematical concepts. Regular MCQ practice improves accuracy, confidence, and conceptual understanding.
Related links
- 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
Latest Posts
- Who was Isaac Newton? – Life, Discoveries, Laws of Motion & Gravity
- Class 9 Maths Chapter 3 Coordinate Geometry
- Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 8 Maths Chapter 3 Understanding Quadrilaterals
Join Our Other Communities
Instagram , Youtube , Facebook
