Answer, i'll give brainliest title to the best and correct answer! : )

square wxyz was dilated by a scale factor of 3 to create square w'x'y'z'. which point is the center of dilation?

a). b
b.) a
c.) d
d.) c

D) Point C

Step-by-step explanation: First of all, we know that the point of dilatation is on the same vertical line both shapes’ lines of symmetry fall because they both line up. So that gives us B or D. Secondly, the distance from square WXYZ would also be multiplied by the scale factor of three. This gives us C, as it is 1 box away from WXYZ, and 3 boxes away from W’X’Y’Z’

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d

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4