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Question

Give reasons for the following:
(a) A square can be thought of as a special rectangle.
(b) A square can be thought of as a special rhombus.
(c) A rectangle can be thought of as a special parallelogram.
(d) a square is also a parallelogram.

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Solution

(a) This is because a rectangle with equal sides becomes a square.
(b) This is because a rhombus with each angle a right angle becomes a square.
(c) This is because a parallelogram with each angle a right angle becomes a rectangle.
(d) This is because in a square opposite sides are parallel.

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