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Toggle## 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**

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