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Ex.3.4 Q1 Understanding Quadrilaterals Solution - NCERT Maths Class 8

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Question

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.

 Video Solution
Understanding Quadrilaterals
Ex 3.4 | Question 1

Text Solution

Steps:

 

Shapes

True or False

Reason

A

All rectangles are

Squares.

False

A rectangle need not have all sides equal hence it is

not square.

B

All rhombuses are parallelograms

True

Since the opposite sides of a rhombus have the same length, it is also a parallelogram

C

All squares are

rhombuses and

also rectangles.

True

All squares are

rhombuses as all sides of a square are of equal lengths.

A square is a rectangle as each internal angle is \(90\) degrees.

D

All squares are

not parallelograms.

False

The opposite sides of a parallelogram are of equal length hence squares with all sides equal are paralleolgrams.

E

All kites are

Rhombuses.

False

Since rhombus have all sides of equal length. All kites need not have all sides of the same length.

F

All rhombuses are kites.

True

Since, all rhombuses have equal sides and diagonals bisect each other.

G

All parallelograms

are trapeziums

True

Since, trapezium has only two parallel sides.

H

All squares are

Trapeziums.

True

All trapezium have a pair of parallel sides

hence squares can be trapezium.

  
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