Chapter 4 Quadrilaterals Class 8 Maths MCQs with Answers (Ganita Prakash Part 1)

Quadrilaterals are an important part of geometry that help us understand different four-sided shapes around us. CBSE Board Class 8 Maths Ganita Prakash Part 1 Chapter 4 Quadrilaterals introduces students to different types of quadrilaterals and their properties through interesting concepts.

In this chapter, students learn about polygons, sides, vertices, diagonals, angle sum properties, and different quadrilaterals such as parallelogram, rectangle, square, rhombus, trapezium, and kite. Understanding these concepts helps students build a strong foundation in geometry and mathematical reasoning.

Practicing Chapter 4 Quadrilaterals Class 8 Maths Ganita Prakash Part 1 MCQs helps students revise important formulas, remember shape properties, and prepare effectively for CBSE exams. These MCQs are created according to the latest NCERT concepts to support quick revision and concept-based learning.

Students can also explore more Class 8 Maths MCQs for chapter-wise Maths practice and attempt other Class 8 MCQs to strengthen their preparation across different subjects.

Quadrilaterals Class 8 Maths Chapter 4 MCQs with Answers

Practice these Class 8 Maths Chapter 4 Quadrilaterals MCQs to revise important concepts like angle properties, diagonals, and different types of quadrilaterals. These questions follow the latest CBSE Board and NCERT Ganita Prakash syllabus for better exam preparation.

Q. Which figure is formed by joining four line segments to make a closed shape?

A. Pentagon
B. Triangle
C. Quadrilateral
D. Circle

Answer: C. Quadrilateral

Explanation: A quadrilateral is a closed polygon made using four line segments. It has four sides, four angles, and four vertices.

Q. A quadrilateral always contains how many sides?

A. 5
B. 4
C. 6
D. 3

Answer: B. 4

Explanation: Every quadrilateral has exactly four sides that join together to form a closed figure.

Q. What is the total measure of the interior angles of any quadrilateral?

A. 180°
B. 540°
C. 90°
D. 360°

Answer: D. 360°

Explanation: The angle sum property states that the sum of all four interior angles of a quadrilateral is always 360°.

Q. The line segments joining opposite vertices of a quadrilateral are called:

A. Sides
B. Diagonals
C. Angles
D. Edges

Answer: B. Diagonals

Explanation: A diagonal connects two opposite vertices of a polygon. A quadrilateral has two diagonals.

Q. Which quadrilateral has two pairs of opposite sides parallel?

A. Trapezium
B. Kite
C. Parallelogram
D. Pentagon

Answer: C. Parallelogram

Explanation: A parallelogram is a quadrilateral where both pairs of opposite sides are parallel to each other.

Q. In a parallelogram, the opposite angles are always:

A. Equal
B. Different
C. Supplementary only
D. Right angles only

Answer: A. Equal

Explanation: One important property of a parallelogram is that its opposite angles are equal.

Q. What is true about consecutive angles of a parallelogram?

A. They are always equal
B. Their sum is 180°
C. Their sum is 90°
D. They are always zero

Answer: B. Their sum is 180°

Explanation: Adjacent or consecutive angles of a parallelogram are supplementary, which means they add up to 180°.

Q. Which quadrilateral contains four right angles?

A. Rhombus
B. Trapezium
C. Rectangle
D. Kite

Answer: C. Rectangle

Explanation: A rectangle is a quadrilateral in which all four angles measure 90°.

Q. Which statement correctly describes a square?

A. It is a rectangle with all sides equal
B. It has only two equal sides
C. It has no diagonals
D. It has only one right angle

Answer: A. It is a rectangle with all sides equal

Explanation: A square has all properties of a rectangle along with four equal sides.

Q. Which quadrilateral has four sides of equal length?

A. Rectangle
B. Trapezium
C. Kite
D. Rhombus

Answer: D. Rhombus

Explanation: A rhombus is a quadrilateral whose all four sides are equal.

Q. What is the special property of the diagonals of a rectangle?

A. They are equal in length
B. They never meet
C. They are curved
D. They are always unequal

Answer: A. They are equal in length

Explanation: The diagonals of a rectangle are equal and bisect each other.

Q. At what angle do the diagonals of a rhombus intersect?

A. 180°
B. 45°
C. 90°
D. 60°

Answer: C. 90°

Explanation: The diagonals of a rhombus are perpendicular bisectors and meet at right angles.

Q. A quadrilateral having only one pair of opposite sides parallel is known as:

A. Square
B. Trapezium
C. Rhombus
D. Rectangle

Answer: B. Trapezium

Explanation: A trapezium is defined as a quadrilateral with one pair of parallel opposite sides.

Q. Which property correctly represents a kite?

A. All four sides are unequal
B. Opposite sides are always parallel
C. Two pairs of adjacent sides are equal
D. All angles are 90°

Answer: C. Two pairs of adjacent sides are equal

Explanation: A kite has two different pairs of neighbouring sides equal in length.

Q. Which quadrilateral has four equal sides and four right angles?

A. Square
B. Rectangle
C. Rhombus
D. Trapezium

Answer: A. Square

Explanation: A square combines the properties of a rectangle and rhombus, having equal sides and right angles.

Q. What is the sum of all exterior angles of a polygon?

A. 180°
B. 360°
C. 540°
D. 720°

Answer: B. 360°

Explanation: For every polygon, the sum of one set of exterior angles is always 360°.

Q. What do we call a polygon having five sides?

A. Quadrilateral
B. Hexagon
C. Pentagon
D. Triangle

Answer: C. Pentagon

Explanation: A pentagon is a polygon made up of five sides and five vertices.

Q. Three angles of a quadrilateral are 70°, 110°, and 80°. Find the fourth angle.

A. 100°
B. 90°
C. 80°
D. 120°

Answer: A. 100°

Explanation: Sum of given angles = 70° + 110° + 80° = 260°.
Fourth angle = 360° − 260° = 100°.

Q. Which quadrilateral has diagonals that are equal and divide each other into two equal parts?

A. Kite
B. Rectangle
C. Trapezium
D. General quadrilateral

Answer: B. Rectangle

Explanation: The diagonals of a rectangle are equal and bisect each other.

Q. Every square can also be classified as a:

A. Pentagon
B. Triangle
C. Rhombus
D. Circle

Answer: C. Rhombus

Explanation: A square is a rhombus because it has four equal sides.

Q. Which quadrilateral is known for having perpendicular diagonals?

A. Rhombus
B. Rectangle
C. Trapezium
D. Parallelogram only

Answer: A. Rhombus

Explanation: The diagonals of a rhombus intersect each other at 90°.

Q. Opposite sides of a rectangle are:

A. Equal and parallel
B. Always unequal
C. Curved
D. Not parallel

Answer: A. Equal and parallel

Explanation: A rectangle has opposite sides that are equal in length and parallel.

Q. Which shape is considered a regular quadrilateral?

A. Kite
B. Square
C. Rectangle
D. Trapezium

Answer: B. Square

Explanation: A square is a regular quadrilateral because all its sides and angles are equal.

Q. If a quadrilateral has all angles equal, each angle measures:

A. 60°
B. 120°
C. 90°
D. 45°

Answer: C. 90°

Explanation: The total angle sum is 360°. Dividing it equally among four angles gives 90°.

Q. Which formula is used to find the number of diagonals in an n-sided polygon?

A. n(n − 3)/2
B. n + 3
C. 2n
D. n − 2

Answer: A. n(n − 3)/2

Explanation: The formula n(n − 3)/2 gives the total number of diagonals in a polygon with n sides.

Q. A parallelogram with all four sides equal is called:

A. Rectangle
B. Rhombus
C. Trapezium
D. Kite

Answer: B. Rhombus

Explanation: A rhombus is a special parallelogram in which all sides have equal length.

Q. A quadrilateral has angles 90°, 90°, 90°, and 90°. Which shape can it be?

A. Rectangle
B. Trapezium
C. Kite
D. Pentagon

Answer: A. Rectangle

Explanation: A rectangle is a quadrilateral where all four angles are right angles.

Q. Which feature is common between a square and a rectangle?

A. Both have four right angles
B. Both always have unequal sides
C. Both have only one diagonal
D. Both have curved sides

Answer: A. Both have four right angles

Explanation: Squares and rectangles both contain four angles of 90°.

Q. A quadrilateral without any special side or angle property is called:

A. General quadrilateral
B. Square
C. Rectangle
D. Rhombus

Answer: A. General quadrilateral

Explanation: A general quadrilateral only follows the basic rule of having four sides.

Q. Learning about quadrilaterals mainly improves understanding of:

A. Chemical formulas
B. Geometrical shapes and properties
C. Plant structures
D. Computer networks

Answer: B. Geometrical shapes and properties

Explanation: Quadrilaterals help students understand different shapes, their sides, angles, and properties.

Topics Covered in Class 8 Maths Chapter 4 Quadrilaterals MCQs

The Class 8 Maths Chapter 4 Quadrilaterals MCQs cover important concepts from the Ganita Prakash Part 1 textbook. These topics help students understand the properties of different shapes and solve geometry-based questions easily.

Skills You Improve From This Chapter

Learning Chapter 4 Quadrilaterals Class 8 Maths Ganita Prakash Part 1 helps students develop important mathematical skills. These skills are useful for solving geometry questions and understanding higher-level Maths concepts.

Students improve:

• Logical Thinking: Understanding relationships between different shapes and their properties.
• Calculation Accuracy: Solving angle-based questions correctly using formulas and concepts.
• Formula Application: Applying angle sum property and other rules in different problems.
• Problem-Solving Skills: Identifying shapes by analysing their sides, angles, and diagonals.
• Observation Skills: Comparing quadrilaterals like square, rectangle, rhombus, and parallelogram.
• Geometry Foundation: Building strong basics for advanced Maths topics.