A quadrilateral has vertices 2 0 0 -2 and -4 + 2 what special quadrilateral is formed by connecting the midpoints of the sides
By connecting the midpoints of the sides of the quadrilateral with vertices (2, 0), (0, -2), and (-4, 2), we can determine the shape formed by these midpoints.
First, let's find the midpoints of the sides:
Midpoint of (2, 0) and (0, -2):
x-coordinate: (2 + 0) / 2 = 1
y-coordinate: (0 + (-2)) / 2 = -1
Midpoint of (2, 0) and (-4, 2):
x-coordinate: (2 + (-4)) / 2 = -1
y-coordinate: (0 + 2) / 2 = 1
Midpoint of (0, -2) and (-4, 2):
x-coordinate: (0 + (-4)) / 2 = -2
y-coordinate: (-2 + 2) / 2 = 0
Therefore, the midpoints of the sides are: (1, -1), (-1, 1), and (-2, 0).
By connecting these midpoints, we can see that the shape formed is a parallelogram.