The labelled plotting of points C, D, E, and F so that squares ABCD and ABEF are formed is attached
Plotting and labelng points C, D, E, and F so that squares ABCD and ABEF are formed
From the question, we have the following parameters that can be used in our computation:
A (-2, 4) and B (-2, -2)
For the squares ABCD and ABEF to be formed, we start by calculating the side length AB using
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, we have
AB = √[(-2 + 2)² + (4 + 2)²] = 6
This means that the side length AB is 6 and as such the squares ABCD and ABEF must have a side length of 6
So, we have the coordinates of C, D, E and F to be
C = (-2 + 6, 4) = (4, 4)
B = (-2 + 6, -2) = (4, -2)
E = (-2 - 6, 4) = (-8, 4)
F = (-2 +-6, -2) = (-8, -2)
Hence, the shapes are attached