NCERT Solutions for Class 8 Maths Exercise 3.4

NCERT Solutions for Class 8 Maths Exercise 3.4 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Class 8 Maths Understanding Quadrilaterals Download as PDF

NCERT Solutions for Class 8 Maths Understanding Quadrilaterals

CBSE Class –VIII Mathematics
NCERT Solutions
Understanding Quadrilaterals (Ex. 3.4)

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1. State whether true or false:

(a) All rectangles are squares.

(b) All rhombuses are parallelograms.

(c) All squares are rhombuses and also rectangles.

(d) All squares are not parallelograms.

(e) All kites are rhombuses.

(f) All rhombuses are kites.

(g) All parallelograms are trapeziums.

(h) All squares are trapeziums.

Ans. (a) False. Since, squares have all sides are equal.

(b) True. Since, in rhombus, opposite angles are equal and diagonals intersect at mid-point.

(c) True. Since, squares have the same property of rhombus but not a rectangle.

(d) False. Since, all squares have the same property of parallelogram.

(e) False. Since, all kites do not have equal sides.

(f) True. Since, all rhombuses have equal sides and diagonals bisect each other.

(g) True. Since, trapezium has only two parallel sides.

(h) True. Since, all squares have also two parallel lines.

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2. Identify all the quadrilaterals that have:

(a) four sides of equal lengths.

(b) four right angles.

Ans. (a) Rhombus and square have sides of equal length.

(b) Square and rectangle have four right angles.

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NCERT Solutions for Class 8 Maths Exercise 3.4

3. Explain how a square is:

(a) a quadrilateral

(b) a parallelogram

(c) a rhombus

(d) a rectangle

Ans. (i) A square is a quadrilateral, since it has four equal lengths of sides.

(ii) A square is a parallelogram, since it contains both pairs of opposite sides equal.

(iii) A square is already a rhombus. Since, it has four equal sides and diagonals bisect at  to each other.

(iv) A square is a parallelogram, since having each adjacent angle a right angle and opposite sides are equal.

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NCERT Solutions for Class 8 Maths Exercise 3.4

4. Name the quadrilateral whose diagonals:

(i) bisect each other.

(ii) are perpendicular bisectors of each other.

(iii) are equal.

Ans. (i) If diagonals of a quadrilateral bisect each other then it is a rhombus, parallelogram,

rectangle or square.

(ii) If diagonals of a quadrilateral are perpendicular bisector of each other, then it is a rhombus or square.

(iii) If diagonals are equal, then it is a square or rectangle.

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NCERT Solutions for Class 8 Maths Exercise 3.4

5. Explain why a rectangle is a convex quadrilateral.

Ans. A rectangle is a convex quadrilateral since its vertex are raised and both of its diagonals lie in its interior.

 NCERT Solutions for Class 8 Maths Exercise 3.4

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