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:

took test

7

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.