The figure created by plotting the points A(5 ,-1), B(2, 2), C(-4, -1) and D(2, -4) is a ________.

To determine the figure created by the points A(5, -1), B(2, 2), C(-4, -1), and D(2, -4), we need to calculate the distances between the points.

Step 1: Calculate the distance between points A and B, B and C, C and D, and D and A.

The distance between two points (x1, y1) and (x2, y2) is given by the formula √[(x2 - x1)² + (y2 - y1)²].

Step 2: Calculate the distance between points A and C, and B and D. These are the diagonals of the figure.

Step 3: If all sides are equal and the diagonals are equal, then the figure is a square. If all sides are equal and the diagonals are not equal, then the figure is a rhombus. If only opposite sides are equal, then the figure is a rectangle. If none of these conditions are met, then the figure is a quadrilateral.

Step 4: Compare the calculated distances with the conditions in step 3 to determine the type of figure.