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Question

A quadrilateral has one angle equal to 90°, and all its sides are equal. Find the quadrilateral.

A
Rhombus
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B
Square
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C
Kite
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D
Rectangle
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Solution

The correct option is B Square
We know that
A square and a rhombus are quadrilaterals that have all the sides equal.

Also, the sum of the adjacent angles of a parallelogram is 180°.
Given,
one angle = 90°
adjacent angle = 180° - 90° = 90°

By definition, the opposite angles of a parallelogram are equal.
So, each angle is equals to 90°.
Thus, it is a square.

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