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