After the rotation fo 180°, we will get the rectangle J'K'L'M', it can be seen in the image at the end of the answer.
How to perform the rotation?
A rotation of 180° always moves the figure 2 quadrants. In this case, the figure starts on the second quadrant, so after the rotation, the figure will be on the fourth quadrant.
Such that the point (x, y) will be transformed into (-x, -y).
The original coordinates of the vertices of our figure are:
- J (-4, 4)
- K (-1, 4)
- M (-4, 2)
- L (-1, 2)
Then the image after the transformation is:
- J' (4, -4)
- K' (1, -4)
- M' (4, -2)
- L' (1, -2)
The graph can be seen below.
If you want to learn more about rotations, you can read:
https://brainly.com/question/4289712
