Question

Polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3). Determine the image vertices of K′L′M′N′ if the preimage is rotated 90° clockwise.

K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)

K′(0, 0), L′(2, −5), M′(−5, −5), N′(−3, 0)

K′(0, 0), L′(−2, −5), M′(5, −5), N′(3, 0)

K′(0, 0), L′(−5, −2), M′(−5, 5), N′(0, 3)

Answer 1

(b) K′(0, 0), L′(2, −5), M′(−5, −5), N′(−3, 0)

Explanation:

You want to know the coordinates of the vertices of KLMN after rotation 90° clockwise, given K(0, 0), L(5, 2), M(5, −5), N(0, −3).

Clockwise rotation

Clockwise rotation 90° is accomplished by the transformation ...

(x, y) ⇒ (y, -x)

This means the points are transformed to ...

K(0, 0) ⇒ K'(0, 0) . . . . . . . the center of rotation is invariant

L(5, 2) ⇒ L'(2, -5)

M(5, -5) ⇒ M'(-5, -5)

N(0, -3) ⇒ N'(-3, 0)

The rotated coordinates match choice B.

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