Question

Help with translations!

Answer 1

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,

`(x,y)\to (x,y-5)`

`W(-6,3)\to W'(-6,3-5)`

`W(-6,3)\to W'(-6,-2)`

After that the figure is rotated 180 degrees clockwise.

`(x,y)\to (-x,-y)`

`W'(-6,-2)\to W''(6,2)`

Therefore, the coordinates of point W after the given transformations are (6,2).