Which of the following shows why rectangle wxyz is congruent to rectangle w'x'y'z'?

a. the rectangle was rotated 180° clockwise about the origin and shifted 3 units in the x direction.
b. the rectangle was rotated 90° clockwise about the origin and shifted 3 units in the x direction.
c. the rectangle was rotated 180° clockwise about the origin and shifted 3 units in the y direction.
d. the rectangle was rotated 90° clockwise about the origin and shifted 3 units in the y direction.

If you rotated the box 90º, the orrientation would not be the same, so it is not D or B.

After rotating 180º, the box will be in the 1st quadrant. If it moved along the x-axis, it wouldnt be there anymore, and the after-picture shows it in the first quadrant still, so the only answer it can be is C.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: