NCERT Solutions for Class 8 maths Chapter 3 Exercise 3.4
In this page we have NCERT Solutions for Class 8 maths Chapter 3 Exercise 3.4 .This exercise has questions about Special Types of Parallelogram like square, kite,rectangle and rhombus
. Hope you like them and do not forget to like , social share
and comment at the end of the page.
NCERT Solutions for Class 8 maths Chapter 3 Exercise 3.4
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 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 5
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
Question 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) Answer
AD and DC are parallel to BC and AB respectively
Therefore AD=BC and DC=AB.
Also Angle ABC is 90° , So all the angles are equal and 90°
Hence it is a rectangle with equal angle and equal oppossite sides
Now in a rectangle, Diagonal Bisect each other and equal
So AO=OB=OC =OD
Hence O is equidistant from A, B and C
Summary
NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 has been prepared by Expert with utmost care. If you find any mistake.Please do provide feedback on mail. You can download the solutions as PDF in the below Link also Download Exercise 3.4 Chapter 3 as pdf
This chapter 3 has total 4 Exercise 3.1 ,3.2,3.3 and 3.4. This is the Last exercise in the chapter.You can explore previous exercise of this chapter by clicking the link below
