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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

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

Solution:

 

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 are equal and parallel to each other, it is also a parallelogram

C

All squares are rhombuses and are also rectangles.

True

All squares are rhombuses as all sides of a square are of equal lengths. All squares are also rectangles 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 parallelograms.

E

All kites are Rhombuses.

False

A rhombus has all sides of equal length whereas a kite does not have all sides of equal 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 all trapeziums have a pair of parallel sides which is true for parallelograms as well.

H

All squares are Trapeziums.

True

All trapeziums have a pair of parallel sides, hence all squares can be trapezium.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 3

Video Solution:

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

NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 Question 1

Summary:

(a) All rectangles are squares - False (b) All rhombuses are parallelograms - True (c) All squares are rhombuses and also rectangles - True (d) All squares are not parallelograms - False (e) All kites are rhombuses - False (f) All rhombuses are kites - True  (g) All parallelograms are trapeziums - True (h) All squares are trapeziums - True 

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