The coordinates of the image after a rotation 90° clockwise about the origin and then a dilation with a scale factor of 3 are: (3, -3), (12, -9), and (3, -15).
<h3>What is a rotation?</h3>
In Mathematics, rotating a point 90° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (y, -x).
By applying a rotation of 90° clockwise to triangle JKL, the coordinate of the image of triangle J'K'L' is given by:
(x, y) → (y, -x)
Points at J = (1, 1) → Points at J' = (1, -(1)) = (1, -1)
Points at K = (3, 4) → Points at K' = (4, -(3)) = (4, -3).
Points at L = (5, 1) → Points at L' = (1, -(5)) = (1, -5).
Next, we would dilate triangle JKL by multiplying with a scale factor of 3:
Points at J' = (1 × 3, -1 × 3) = (3, -3)
Points at K' = (4 × 3, -3 × 3) = (12, -9)
Points at L' = (1 × 3, -5 × 3) = (3, -15)
Read more on rotation here: brainly.com/question/28515054
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