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NCERT Solutions for Understanding quadrilaterals Class 8 maths Chapter 3 CBSE Part 3




In this page we have NCERT book Solutions for Class 8th Maths:Understanding quadrilaterals Chapter 3 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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