Question

Triangle JKL has vertices J(-4, 4), K(-1, 3), and

L(-2, 1). Graph the figure and its rotated image after a
clockwise rotation of 90° about the origin. Then give the
coordinates of the vertices for triangle J'K'L'.
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Answer 1

J(0,6)

K(-1,3)

L(-3,4)

Explanation:

Answer 2

A graph of triangle JKL and its image after a clockwise rotation of 90° about the origin is shown below.

The coordinates of the vertices for triangle J'K'L' are J' (4, 4), K' (3, 1), and L' (1, 2)

In Mathematics and Euclidean Geometry, 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 = (-4, 4) → Points at J' = (4, -(-4)) = J' (4, 4)

Points at K = (-1, 3) → Points at K' = (3, -(-1)) = K' (3, 1).

Points at L = (-2, 1) → Points at L' = (1, -(-2)) = L' (1, 2).