How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing? Explain your reasoning.

Answer :

frika

Answer:

See explanation

Step-by-step explanation:

Let [tex](x,y)[/tex] be the coordinates of the point which has to be dilated with the scale factor of [tex]k[/tex] with the center of dilation at point [tex](0,0)[/tex] (the origin).

The dilation with the scale factor [tex]k[/tex] and the center of dilation at the origin has the rule

[tex](x,y)\rightarrow (kx,ky)[/tex]

So, you have simply to multiply each coordinate of the point by [tex]k[/tex] to get the image's coordinates.

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