The resulting image of the point F(x, y) = (- 7, 13) is F'(x, y) = (- 12, 31).
<h3>What is the resulting image of a point by rigid transformation?</h3>
In this problem we have a point that has to be transformed by a kind of rigid transform known as dilation, which is defined by the following equation:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
- O(x, y) - Center of dilation
- P(x, y) - Original point
- P'(x, y) - Image
- k - Scale factor
If we know that O(x, y) = (- 2, - 5), F(x, y) = (- 7, 13) and k = 2, then the resulting image is:
F'(x, y) = (- 2, - 5) + 2 · [(- 7, 13) - (- 2, - 5)]
F'(x, y) = (- 2, - 5) + 2 · (- 5, 18)
F'(x, y) = (- 2, - 5) + (- 10, 36)
F'(x, y) = (- 12, 31)
The resulting image of the point F(x, y) = (- 7, 13) is F'(x, y) = (- 12, 31).
To learn more on rigid transformations: brainly.com/question/28004150
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