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. 
ā 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
ā Related Questions:
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