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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.


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Solution

(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.

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