In this page we have ** NCERT book Solutions for Class 8th Maths:quadilaterals** for
EXERCISE 4 . Hope you like them and do not forget to like , social share
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**Question 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.

**Answer **

- False: All squares are rectangles but all rectangles are not squares
- True
- True
- False
- False
- True
- True
- True

**Question 2**

Identify all the quadrilaterals that have

(a) Four sides of equal length

(b) Four right angles

**Answer **

i)Square and Rhombus

ii) Squares, rectangles

**Question 3 **

Explain how a square is.

(i) A quadrilateral

(ii) A parallelogram

(iii) A rhombus

(iv) A rectangle

**Answer **

i) Square is quadrilateral as it has four sides

ii) A square is parallelogram as opposite’s sides are parallel to each other

iii) A square is rhombus as it has four sides equal

iv) A square is rectangles since each interior angles is 90^{0}

** Question 4 **

Name the quadrilaterals whose diagonals.

(i) Bisect each other

(ii) are perpendicular bisectors of each other?

(iii) are equal

**Answer **

i) The diagonals of parallelogram,square,rectangles,rhombus bisect each other

ii) The diagonals of rhombus and square are perpendicular bisector of each other

**Question **

Explain why a rectangle is a convex quadrilateral.

**Answer **

A rectangles has two diagonals and both are in the interior, hence it is convex quadrilaterals

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