Quadrilateral ABCD Analysis: Is a Shape with 6-Unit Sides a Square?

The problem requires checking whether quadrilateral $ABCD$ is a square.

• The quadrilateral is labeled such that each side $AB$, $BC$, $CD$, and $DA$ is $6$, indicating that all sides are of equal length.
• In geometry, if a quadrilateral has all sides equal and all internal angles as right angles, it is defined as a square.
• Considering all sides are given as equal, it's logical to presume the angles in this labeled quadrilateral are right angles, a common property when the shape is indeed a square.
• With both conditions—equal sides and right angles—met, we conclude the figure is a square.

Therefore, the quadrilateral $ABCD$ is a square.

Yes