Class 8, Maths, Chapter 3, Exercise 3.4, Solutions
Q.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) All rectangles are squares.(False)
(b) All rhombuses are parallelograms. (True)
(c) All squares are rhombuses and also rectangles. (True)
(d) All squares are not parallelograms. (False)
(e) All kites are rhombuses. (False)
(f) All rhombuses are kites. (True)
(g) All parallelograms are trapeziums. (True)
(h) All squares are trapeziums. (False)
Q.2. Identify all the quadrilaterals that have.
(a) four sides of equal length
(b) four right angles
Ans: (a) Four sides of equal length
(i) Square
(ii) Rhombus
(b) Four right angles
(i) Square
(ii) Rectangle
Q.3. Explain how a square is.
(i) a quadrilateral
(ii) a parallelogram
(iii) a rhombus
(iv) a rectangle
Ans: (i) a quadrilateral: A square is four sided. so, it is a quadrilateral.
(ii) a parallelogram: a square has its opposite sides parallel. So, it is a parallelogram.
(iii) a rhombus: a square has its opposite sides parallel. So, it is a parallelogram.
(iv) a rectangle: A square is parallelogram with each angle a right angle. So, it is a rectangle.
Q.4. Name the quadrilaterals whose diagonals.
(i) bisect each other
(ii) are perpendicular bisectors of each other
(iii) are equal
Ans: (i) Bisect each other
(a) Square
(b) Rectangle
(c) Rhombus
(d) Parallelogram
(ii) are perpendicular bisectors of each other
(a) Square
(b) Rhombus
(iii) The diagonals of a rectangle and square are equal.
(a) Square
(b) Rectangle
Q.5. Explain why a rectangle is a convex quadrilateral.
Ans: In a rectangle, there are two diagonals and both of its diagonal lie in its interior.
Q.6. ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you).
NCERT Solutions For Class 8 Maths Chapter 3, Understanding Quadrilaterals (All Exercises)
Class 8, Maths, Chapter 3, Understanding Quadrilaterals
Class 8, Maths, Chapter 3, Understanding Quadrilaterals, Exercise 3.1
Class 8, Maths, Chapter 3, Understanding Quadrilaterals, Exercise 3.2
Class 8, Maths, Chapter 3, Understanding Quadrilaterals, Exercise 3.3
Class 8, Maths, Chapter 3, Understanding Quadrilaterals, Exercise 3.4 ← You are here
.