The properties of a Regular Polygon are:
All sides are equal
All angles are equal
A rectangle only shares one of these properties, Equal Angles, so No, a Rectangle is not a regular polygon.
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Rectangle
No. You also need all of the sides to be congruent. For example, a rectangle has four congruent angles, but it is not a regular polygon.
The answers are No and No. In the first case, a rhombus, and in the second, a rectangle are examples of quadrilaterals which satisfy the congruence requirements but neither is a regular polygon.
No, a polygon is not a rectangle, but a rectangle is a polygon. You just got the words mixed up.
A quadrilateral, a parallelogram, a rhombus, a rectangle, a regular polygon.