The coordinates of a rectangle are (4, 0), (8, 0), (4, 10) and (8, 10). which transformation results in a reduction in the size of a rectangle? a) the rectangle reflects across the y-axis. b) the rectangle undergoes a dilation by a scale factor of 2. c) the rectangle translates 3 units to the left and 6 units up. d) the rectangle undergoes a dilation by a scale factor of 0.5.

D) The rectangle undergoes a dilation by a scale factor of 0.5.

Step-by-step explanation:

A translation is only a slide; it does not change the size of a figure.

A reflection creates a mirror image; it does not change the size of a figure.

A rotation turns a figure; it does not change the size of a figure.

A dilation is a stretch or shrink, which by definition changes the size of a figure.

A dilation by a factor greater than 1 will stretch a figure, and a dilation by a factor less than 1 (but greater than 0) will shrink a figure.  Since we want a reduction in size, we want a shrink; this means out of all of our options, the only correct one is a dilation by a factor of 0.5.

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step-by-step explanation:

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0