Which rule yields the dilation of the figure RSTU centered at the origin?
A) (x, y) → (4x, 4y)
B) (x, y) → (0.25x, 0.25y)
C) (x, y) → (x + 4, y + 4)
D) (x, y) → (x + 0.25, y + 0.25)

Dilation is defined as transformations in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure) have the same shape, but their sizes are different.

For a dilation using a scale factor "k" and centered at the origin, the rule is:

[tex](x.y)[/tex] → [tex](kx,ky)[/tex]

Let's pick the point S of the Pre-Image RSTU. This is :

[tex]S(1,1)[/tex]

And the point S' of the Image R'S'T'U' is:

[tex]S'(4,4)[/tex]

You can identify that the coordinates of S' are obtained by multiplying the coordinates of the point S by this scale factor:

[tex]k=4[/tex]

Therefore, the rule that yields this dilation is:

[tex](x.y)[/tex] → [tex](4x, 4y)[/tex]

kumoski12 kumoski12 · Answer 2 · 2020-03-25T22:59:48+01:00

kumoski12 kumoski12

25-03-2020

Answer:

A is correct

Step-by-step explanation:

Answer Link

Which rule yields the dilation of the figure RSTU centered at the origin? A) (x, y) → (4x, 4y) B) (x, y) → (0.25x, 0.25y) C) (x, y) → (x + 4, y + 4) D) (x, y) → (x + 0.25, y + 0.25)

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Otras preguntas

Which rule yields the dilation of the figure RSTU centered at the origin?
A) (x, y) → (4x, 4y)
B) (x, y) → (0.25x, 0.25y)
C) (x, y) → (x + 4, y + 4)
D) (x, y) → (x + 0.25, y + 0.25)