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Sagot :

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).

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