Points , , , and form a quadrilateral. What is it?

Question Analysis:
This question uses coordinate - geometry to identify the type of a quadrilateral.
The main focus is on comparing side lengths and slopes to determine the shape.

Key Concept Explanation:
A square has all four sides equal in length, and adjacent sides are perpendicular (slopes of adjacent sides are negative reciprocals).
The distance formula

calculates side lengths, and the slope formula

checks for perpendicularity.

Step - by - Step Solution:
1. Calculate side lengths:
-

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