Answer:
B. 5 units
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).
If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)
A square has four equal sides. The distance between two points
is:
![|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%7CXY%7C%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Hence:
![|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5](https://tex.z-dn.net/?f=%7CA%27B%27%7C%3D%5Csqrt%7B%280-0%29%5E2%2B%28-5-0%29%5E2%7D%20%3D5)