Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
Using the translation rule, it is found that the coordinates of the pre-image point H is H(3,2).
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The coordinates are [tex]\mathbf{H'(-3,-2)}[/tex].
For a 180º rotation around the origin, the rule is: [tex](x,y) \rightarrow (-x,-y)[/tex]. That is, the signal of both x and y is exchanged.
Thus, if the transformed coordinate is (-3,-2), the same rule can be applied to find the pre-image point, thus [tex](-3,-2) \rightarrow (-(-3), -(-2)) \rightarrow (3,2)[/tex].
The pre-image point is H(3,2).
A similar problem is given at https://brainly.com/question/12673036
