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Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park,
Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon
L'M'N'P/Q'R'. The vertex Q' will be located at (21, 7).

Which rule best represents the dilation?

Polygon LMNPQR Is Shown On The Coordinate Grid And Models The Shape Of A Garden In A Park Polygon LMNPQR Will Be Dilated With The Origin As The Center Of Dilati class=

Sagot :

MrRoyal

Dilation involves changing the size of the polygon

The best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]

How to determine the rule

The coordinates of vertices Q and Q' are given as;

Q = (6,2)

Q' = (21, 7)

The scale factor of dilation is then calculated as:

[tex]k = \frac {Q'}{Q}[/tex]

So, we have:

[tex]k = \frac {(21,7)}{(6,2)}[/tex]

Factorize

[tex]k = \frac {7/2(6,2)}{(6,2)}[/tex]

Divide

[tex]k = \frac {7}2[/tex]

So, the transformation rule is:

[tex](x,y) \to \frac 72(x,y)[/tex]

Hence, the best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]

Read more about dilation at:

https://brainly.com/question/3457976

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