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).