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.

Answer 1

(a) False.
In a square, all sides are equal, but in a rectangle, only opposite sides are equal.
Hence, the given statement is false.

(b) True.
Since, in a rhombus, opposite sides and angles are equal and diagonals bisect each other.
So, all rhombuses are parallelograms.

(c) True.
All properties of rhombuses and rectangles are also true for a square.

(d) False.
All squares have the same properties as that of a parallelogram.