Is rectangle a regular polygon? I am asking this because only opposite sides are equal and all angles are equal.

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Solution

If all angles are equal and all sides are equal, then a polygon is regular (otherwise it is "irregular").
In a rectangle, all angles are equal but all sides are not equal, only opposite sides are equal. Hence rectangle is not a regular polygon.

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Q. Question 17
A quadrilateral in which all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ___.
a) Rhombus
b) Parallelogram
c) Square
d) Rectangle

Match the following:

$\begin{matrix} Quadrilateral & Properties 1. Trapezium & A) A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to 90^{\circ} 2. Square & B) A quadrilateral, where only one pair of opposite sides is parallel and unequal 3. Rectangle & C) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90^{\circ} 4. Rhombus & D) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90^{\circ} \end{matrix}$

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Is rectangle a regular polygon? I am asking this because only opposite sides are equal and all angles are equal.

If all angles are equal and all sides are equal, then a polygon is regular (otherwise it is "irregular"). In a rectangle, all angles are equal but all sides are not equal, only opposite sides are equal. Hence rectangle is not a regular polygon.

If all angles are equal and all sides are equal, then a polygon is regular (otherwise it is "irregular").
In a rectangle, all angles are equal but all sides are not equal, only opposite sides are equal. Hence rectangle is not a regular polygon.