Question

30 POINTS,NEED HELP ASAP !!!
Which rule yields the dilation of the figure CDEF 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)

Answer 1

Answer: OPTION A.

Step-by-step explanation:

You can observe that in the figure CDEF the vertices are:

$C(-2,-1),\ D(-2,0),\ E(2,2)\ and\ F(2,1)$

And in the figure C'D'E'F'  the vertices are:

$C'(-8,-4),\ D'(-8,0),\ E'(8,8)\ and\ F'(8,4)$

For this case, you can divide any coordinate of any vertex of the figure C'D'E'F' by any coordinate of any vertex of the figure CDEF:

For C'(-8,-4) and C(-2,-1):

$\frac{-8}{-2}=4\\\\\frac{-4}{-1}=4$

Let's choose another vertex. For E'(8,8) and E(2,2):

$\frac{8}{2}=4\\\\\frac{8}{2}=4$

You can observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and the the coordinates of E' are also obtained by multiplying each coordinate of E by 4.

Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is:

$(x, y)$→$(4x, 4y)$

Answer 2

Answer:

A. (x, y) => (4x, 4y) this will help you out ;-)