Which of the following are equiangular and equilateral polygons?A. SquareB. Rhombus C. Kite D. None of these

To solve the question, let's define equiangular and equilateral polygons.

Equiangular Polygon: A polygon where all interior angles are equal.
Equilateral Polygon: A polygon where all sides are of equal length.
Now, let's analyze each option:

A. Square:

A square is a quadrilateral with all sides equal in length, so it is equilateral.
A square also has all four angles equal to 90 degrees, so it is equiangular.
Thus, a square is both equiangular and equilateral.
B. Rhombus:

A rhombus has all sides of equal length, so it is equilateral.
However, its angles are not necessarily all equal. The angles of a rhombus can vary, and typically, only opposite angles are equal. So, it is not equiangular.
Thus, a rhombus is not both equiangular and equilateral.
C. Kite:

A kite has two pairs of adjacent sides that are equal in length, but not all four sides are equal. Therefore, it is not equilateral.
Additionally, the angles in a kite are not all equal, so it is not equiangular.
Thus, a kite is neither equiangular nor equilateral.
D. None of these:

As we have shown that a square is both equiangular and equilateral, this option is incorrect.
Conclusion:
The correct answer is A. Square, as it is the only polygon that is both equiangular and equilateral.