Question

F'(-7, 13) was dilated by a scale factor of 2 about (-2, -5), the resulting image is___

Answer 1

The resulting image of the point F(x, y) = (- 7, 13) is F'(x, y) = (- 12, 31).

What is the resulting image of a point by rigid transformation?

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

#SPJ1