Question

A pre-image point is rotated 90° clockwise. If the pre-image point had the coordinates (3, -5), what are the coordinates of its image point?

(-5, -3)

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Answer 1

(-5,-3).

Explanation:

To rotate figures, there are several rules.

Specifically, when we want to rotate a figure 90° clockwise, the transformation is

`(x,y) \implies (y,-x)`.

If the pre-image point has coordinates (3,-5), then its 90° rotation clockwise is (-5,-3), because it must follow the rule above.

Therefore, the right answer is (-5,-3).

Answer 2

The preimage is (-5,-3)

EXPLANATION

If the point (x,y) is rotated 90° clockwise, then the image point is (y,-x)

This implies that, the rule for 90° clockwise rotation is :

`(x,y)\to (y, - x)`

To find the image of the point (3,-5), we substitute it into the rule:

`(3, - 5)\to ( -5, -3)`

Therefore the preimage is (-5,-3)