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Explain how a square is(a) a quadrilateral. (b) a parallelogram.(c) a rhombus. (d) a rectangle

Question

Explain how a square is

(a) a quadrilateral.
(b) a parallelogram.
(c) a rhombus.
(d) a rectangle.

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Solution

(a) A square is a quadrilateral because it has four sides. The term "quadrilateral" is a general term used to describe all four-sided figures.

(b) A square is a parallelogram because it has two pairs of parallel sides. This is one of the defining characteristics of parallelograms.

(c) A square is a rhombus because all of its sides are of equal length. This is the defining characteristic of a rhombus.

(d) A square is a rectangle because it has four right angles. This is the defining characteristic of a rectangle. However, not all rectangles are squares as rectangles can have sides of different lengths.

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