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Ncert Solutions for quadilaterals Class 8 CBSE Part 3


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 and comment at the end of the page.

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

  1. False:  All squares are rectangles but all rectangles are not squares
  2. True
  3. True
  4. False
  5. False
  6. True
  7. True
  8. 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 900

 

 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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