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  • A square was defined as a rectangle with all sides equal. Can we define it as rhombus with equal angles? Explore this idea.

2. A square was defined as a rectangle with all sides equal. Can we define it as
rhombus with equal angles? Explore this idea.

Answers (1)

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Properties of rectangle are : 

(1) All the properties of a parallelogram.

(2) Each of the angles is a right angle.

(3) Diagonals are equal.

A square satisfies all the properties of rectangles so a square can be defined as a rectangle with all sides equal.

Properties of rhombus are :

(1) All the properties of a parallelogram.

(2) Diagonals are perpendicular to each other.

A square satisfies all the properties of rhombus so we can define it as
rhombus with equal angles.

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