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)
(5, 3)
(-3, 5)
(-3, -5)

Respuesta :

I think it would be (-3,5)
I visualised it In my mind though.

ANSWER

(-5,-3)

EXPLANATION

The mapping for 90 degrees clockwise rotation is

[tex](x,y)\to (y,-x)[/tex]

The given preimage point has coordinates (3,-5).

The image of the given point is calculated using the given mapping to obtain:

[tex](3, - 5)\to ( - 5, - 3)[/tex]

The correct choice is the first option.