Given:
The figure of a trapezoid.
The figure is translated down 5 units and then rotated 180 degrees clockwise.
To find:
The coordinates of the image of point W after these transformation.
Solution:
From the given figure it is clear that the coordinates of point W are (-6,3).
The figure is translated down 5 units. So,
[tex](x,y)\to (x,y-5)[/tex]
[tex]W(-6,3)\to W'(-6,3-5)[/tex]
[tex]W(-6,3)\to W'(-6,-2)[/tex]
After that the figure is rotated 180 degrees clockwise.
[tex](x,y)\to (-x,-y)[/tex]
[tex]W'(-6,-2)\to W''(6,2)[/tex]
Therefore, the coordinates of point W after the given transformations are (6,2).