Question 7
Plot and state the points of your new house from Chapter 2 after a counterclockwise rotation of 180 degrees about the origin. Use a different color to plot the points. Name the new coordinates and color you used on your graph here.
To plot the points after a counterclockwise rotation of 180 degrees about the origin, we will transform each coordinate (x, y) to (-x, -y).
Let's assume the original coordinates of the points are:
Point A: (2, 3)
Point B: (4, 1)
Point C: (-2, -1)
After a counterclockwise rotation of 180 degrees, the new coordinates will be:
Point A': (-2, -3) [color: blue]
Point B': (-4, -1) [color: blue]
Point C': (2, 1) [color: blue]
Using a blue color to plot the new points, we would have:
- Point A' (-2, -3) plotted as a blue dot
- Point B' (-4, -1) plotted as a blue dot
- Point C' (2, 1) plotted as a blue dot
(Note: The graph is not included as this is a text-based platform. However, you can plot the points on a graph paper or a graphing software by marking the new coordinates mentioned above with the specified color.)