NCERT MCQ Solutions for Class 8 Maths Ganita Prakash Chapter 4 Quadrilaterals

NCERT MCQ Solutions for Class 8 Maths Ganita Prakash Chapter 4 Quadrilaterals for Session 2025-26 are helpful for quick revision and smart practice. NCERT Ganita Prakash objective questions solutions cover all important topics like rectangles, squares, parallelograms, rhombuses, kites and trapeziums. Each MCQ is solved with a simple explanation. It helps students understand concepts and prepare well for exams. These multiple-choice questions are based on the latest syllabus. They improve accuracy, speed and confidence in solving objective-type problems.

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Quadrilaterals Class 8 Maths Ganita Prakash Chapter 4 MCQ

Q1. From which Latin words is “quadrilateral” derived?

[A]. ‘quadr’ meaning straight and ‘latus’ meaning line
[B]. ‘quadri’ meaning four and ‘latus’ referring to sides
[C]. ‘quadri’ meaning angle and ‘latus’ referring to four
[D]. ‘quad’ meaning square and ‘latus’ meaning angle

Q2. What are the two defining conditions for a quadrilateral to be called a rectangle? 

[A]. All sides are equal and all angles are 90°.
[B]. Opposite sides are parallel and diagonals are equal.
[C]. All angles are 90° and opposite sides are of equal length.
[D]. Adjacent sides are equal and diagonals bisect each other.

Q3. If a carpenter needs to form a rectangle using two strips of wood as diagonals, and one strip is 8 cm long, what should be the length of the other strip?

[A]. Less than 8 cm
[B]. More than 8 cm
[C]. Exactly 8 cm
[D]. It can be any length

Q4. What does it mean for diagonals of a quadrilateral to “bisect each other”?

[A]. They divide the quadrilateral into two equal triangles.
[B]. They are of equal length.
[C]. They divide each other into two equal parts.
[D]. They are perpendicular to each other.

Class 8 Maths Chapter 4 Quadrilaterals MCQs

Class 8 Math Ganita Prakash Chapter 4 introduces you to the fascinating world of four-sided figures known as quadrilaterals. A quadrilateral has four sides, four vertices and four angles. You will learn about different types like rectangles, squares, parallelograms, rhombuses, trapeziums and kites. Each shape has its own unique properties regarding sides, angles and diagonals. By learning their definitions and properties through MCQs, you strengthen your ability to quickly identify each shape. Multiple Choice Questions based on these basic facts train your brain to remember important keywords like equal sides, parallel lines, right angles and diagonals bisecting each other. Solving such questions helps in faster recognition and also prepares you for competitive exams where time and accuracy are required.

Q5. What is a “conjecture” in geometric reasoning?

[A]. A statement derived through formal deduction only.
[B]. A statement about which we are highly confident but not yet sure if it always holds true.
[C]. An observation that is always incorrect.
[D]. A proven theorem that always holds true.

Q6. A simplified definition of a rectangle states that it is a quadrilateral in which all the angles are 90°. What else can be concluded about its opposite sides from this definition?

[A]. They intersect at 90°.
[B]. They are always parallel but not necessarily equal. 
[C]. They must have equal lengths.
[D]. They are always unequal.

Q7. Which property states that when the sum of the internal angles on the same side of a transversal is 180°, the lines are parallel? 

[A]. Angle sum property of a quadrilateral
[B]. Vertically opposite angles property 
[C]. Transversal properties for parallel lines 
[D]. Congruence property 

Q8. How is the relationship between squares and rectangles represented using a Venn diagram?

[A]. Two separate, non-overlapping circles.
[B]. A rectangle circle completely inside a square circle.
[C]. A square circle completely inside a rectangle circle.
[D]. Two overlapping circles with a shared region.

Learning MCQs through Properties and Deductions

Class 8 Math Ganita Prakash Chapter 4 doesn’t stop at just definitions—it teaches how to deduce properties using logic and construction. For example, you learn that the diagonals of a rectangle are equal and bisect each other, while those of a square intersect at 90°. You also explore how adjacent angles of a parallelogram add up to 180° and how opposite angles are equal. Solving MCQs on these deductions ensures you are not just memorizing properties but truly understanding their geometric reasons. This helps in real-life problem-solving and sharpens logical reasoning. Objective questions from this section test your grasp on congruence, angle sum properties and symmetry—all vital parts of geometry.

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Q9. What additional condition is needed for the diagonals of a rectangle to form a square?

[A]. They must be longer than the sides.
[B]. They must be perpendicular to each other.
[C]. They must be parallel to each other.
[D]. They must not bisect each other.

Q10. What is a unique property of the diagonals of a square, not necessarily true for all rectangles?

[A]. They are of equal length.
[B]. They bisect each other.
[C]. They divide the angles of the square into equal halves.
[D]. They form isosceles triangles.

Q11. What is the sum of all angles in any quadrilateral?

[A]. 180°
[B]. 270°
[C]. 360°
[D]. 540°

Q12. What type of quadrilateral has parallel opposite sides but is not necessarily a rectangle?

[A]. Parallelogram
[B]. Rhombus
[C]. Trapezium
[D]. Square
Comparison of Quadrilaterals with Class 8 Maths Chapter 4 MCQs

Class 8 Maths Ganita Prakash Chapter 4 teaches how to classify and compare different types of quadrilaterals. For instance, a square is both a rectangle and a rhombus, while a kite has equal adjacent sides. Using Venn diagrams, students can visualize the relationships among shapes. These comparisons are often tested in MCQ format, where small differences in properties can change the answer completely. Practicing such questions helps you build strong conceptual clarity. For example, knowing whether “a quadrilateral with equal diagonals that bisect each other” is a rectangle or square can help you ace MCQs with similar tricky options.

Q13. In a parallelogram, what is the sum of adjacent angles?

[A]. 180°
[B]. 360°
[C]. 270°
[D]. 90°

Q14. What can be said about the opposite angles of a parallelogram?

[A]. They are always right angles.
[B]. They are always equal.
[C]. They are never equal.
[D]. They add up to 180°.

Q15. What is the definition of a rhombus?

[A]. A quadrilateral with all angles equal to 90°.
[B]. A quadrilateral in which all the sides have the same length.
[C]. A quadrilateral with at least one pair of parallel opposite sides.
[D]. A quadrilateral with two non-overlapping adjacent pairs of sides having the same length. 

Q16. What is the relationship between a square, a rectangle, a rhombus, and a parallelogram as shown in the Venn diagram?

[A]. A square is a type of rectangle and a type of rhombus, both of which are types of parallelograms.
[B]. A rhombus is a type of rectangle.
[C]. A rectangle is a type of rhombus. 
[D]. A parallelogram is a type of square. 
Revision through Class 8 Maths Chapter 4 MCQs

Class 8 Maths Ganita Prakash Chapter 4 links geometry to real-life applications like the carpenter’s method of building rectangles using diagonals. It shows how farmers use quadrilateral shapes in field layouts or how folding paper can help identify right angles. These practical lessons come with activity-based MCQs that ask about shapes formed under certain conditions. Attempting these objective questions boosts your visual and spatial understanding of geometry. They also prepare you to think critically when applying math to real scenarios. Thus, studying and solving MCQs from Class 8th Ganita Prakash Chapter 4 is essential to not only score well but also become a confident and creative problem-solver.

Q17. What is a property of the diagonals of a rhombus concerning their intersection angle?

[A]. They are equal.
[B]. They bisect each other at any angle.
[C]. They intersect each other at an angle of 90°.
[D]. They do not bisect each other.

Q18. What is a “kite” defined as?

[A]. A quadrilateral with four equal sides.
[B]. A quadrilateral with two non-overlapping adjacent pairs of sides having the same length.
[C]. A quadrilateral with all angles equal to 90°.
[D]. A quadrilateral with exactly one pair of parallel sides.

Q19. What is a “trapezium” defined as?

[A]. A quadrilateral with two pairs of parallel opposite sides.
[B]. A quadrilateral with all angles equal to 90°.
[C]. A quadrilateral with at least one pair of parallel opposite sides.
[D]. A quadrilateral with equal non-parallel sides.

Q20. In an isosceles trapezium, what is true about the angles opposite to the equal sides?

[A]. They are always unequal.
[B]. They are always equal.
[C]. They add up to 180°.
[D]. They are always 90°.

What are the key definitions students must remember for Class 8 Maths Chapter 4 MCQ?

Students need to know basic definitions like quadrilateral, parallel sides, adjacent and opposite angles, diagonals and special types (square, rectangle, rhombus, parallelogram, trapezium, kite). MCQs are helpful because they require quick and accurate recall of these definitions. Each option tests your understanding of keywords like “all sides equal”, “opposite sides parallel” or “diagonals bisect each other”. Practicing Class 8 Maths Ganita Prakash Chapter 4 MCQ helps build clarity by making you differentiate between shapes such as a rectangle (only opposite sides equal) and a square (all sides equal). These objective questions are great for reinforcing memorization and spotting subtle differences in definitions—skills that greatly improve test performance and subject understanding.

How can students effectively use Class 8 Maths Chapter 4 MCQ to practice angle properties in quadrilaterals?

Angle properties form the deeper part of Class 8 Ganita Prakash Chapter 4 and Class 8 Maths Chapter 4 MCQ are ideal for testing these. Examples include knowing that the sum of interior angles of any quadrilateral is 360°, adjacent angles in a parallelogram sum to 180° and diagonals of a rectangle are equal. By practicing multiple choice questions on these properties, you train your brain to quickly apply formulas like (n – 2)×180° and to remember angle sums in different shapes. MCQs might present two angles and ask for the others or give a shape type and ask about angle relationships. Repetition of such questions ensures you internalize the logical rules. This helps in exam preparation and strengthens the power to apply these facts in various problem-solving situations.

Why is classification of quadrilaterals required in Class 8 Ganita Prakash Chapter 4 MCQ?

Chapter 4 explains how to classify quadrilaterals by side lengths, parallel sides, angles and diagonals. For instance, a square is a special parallelogram and a rhombus. In Class 8 Maths Ganita Prakash Chapter 4 MCQ, you’ll often see questions like “Which shape has two pairs of parallel sides and equal diagonals?” Classification MCQs demand clear understanding of overlapping properties, such as recognizing that all squares are rectangles but not all rectangles are squares. These objective questions test your ability to trace Venn‑diagram relationships and apply them quickly. Practicing them helps sharpen categorization skills and supports exam success by preventing confusion caused by similar-looking options. It also boosts your confidence in identifying shapes based on definitions and attributes.

How do Class 8 Maths Chapter 4 MCQ support mastering the practical applications and constructions of quadrilaterals?

Chapter 4 includes practical applications—for instance, using diagonals to construct rectangles, forming fields in agricultural plots or folding paper to create kites and parallelograms. Class 8 Maths Ganita Prakash Chapter 4 MCQ often ask questions based on real‑life scenarios: “Which shape a carpenter uses to check right angles?” or “What is the shape formed when opposite sides are equal and parallel?” By solving such objective problems, students connect geometry to everyday contexts and understand how shape properties work in construction and design. These questions enhance spatial reasoning and visual perception. They also prepare learners for application‑based exams where recognizing real‑world usage of quadrilaterals can set answers apart.

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