Question

Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?
90 ̊ clockwise rotation
270 ̊ clockwise rotation
180 ̊ rotation
90 ̊ counterclockwise rotation

Answer 1

90 degree rotation clockwise : (a,b) --> (b,-a)
so... (24,-15) --> (-15,-24) is a 90 degree clockwise rotation

Answer 2

The interchange in the location of the x and y-values, and the placement

of the negative sign indicate a 90° clockwise rotation.

Response:

• 90° clockwise rotation

Which formula can be used to know the correct transformation?

The given coordinates of the point is; K(24, -15)

The image of the point K is K'(-15, -24), which represents a

transformation of the type;

(x, y) $\longrightarrow$ (y, -x)

The above transformation is equivalent to a rotation of 90° clock wise.

• $(x, \ y) \ \underrightarrow{90^{\circ} \, clock \, wise \, rotation } \ (y, \ -x)$

• The correct option is therefore; 90° clockwise rotation

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