Which rule yields the dilation of the figure stuv centered at the origin? a) (x, y) → (5x, 5y) b) (x, y) → (0.2x, 0.2y) c) (x, y) → (x + 5, y + 5) d) (x, y) → (x + 0.2, y + 0.2)

Option B is correct.

Rule of dilation of the figure STUV is:

Step-by-step explanation:

From the given figure;

the coordinates of STUV pre -image are;

S = (-5 , -5) ,

T = (5, -5)

U = (10 , 5)

V = (-10 , 5)

And the coordinates of dilated image S'T'U'V' are;

S' = (-1, -1)

T' = (1, -1)

U' = (2, 1)

V' = (-2, 1)

The rule of dilation with scale factor k centered at the origin is given by:

To solve for k;

Let any pre-image S(x, y)= (-5, -5)

here, x = -5 and y = -5

then;

S'(kx, ky) = (-1, -1)

Substitute value of x and y we get;

(-5k , -5k) = (-1,  -1)

On comparing both sides we get;

-5 k  = -1

Divide both sides by -5 we get;

Therefore, the rule which yields the dilation of the figure STUV centered at the origin is;  

B. .2x, .2y

Step-by-step explanation:

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step-by-step explanation: