Answer:
see below
Step-by-step explanation:
You want the image of the figure TUVW after it has been dilated by a factor of 3/2. The preimage coordinates are T(-2, 1), U(-1, 3), V(3, 1), W(0, -2).
Dilation
Dilation about the origin multiplies each coordinate value by the scale factor. Here, we notice point W is on the negative y-axis. The dilated point will also lie on the negative y-axis.
W(0, -2) × 3/2 = W'(0, -3)
The only figure with point W' on the negative y-axis is the last figure.
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Additional comment
It is often the case that you can choose the correct answer by considering only one piece of the problem. If an answer choice has that wrong, it will be an incorrect answer choice.
Dilation moves all points of a figure toward (k<1) or away (k>1) from the center of dilation. It does not do any translation or rotation, but simply changes the size of the figure.
A preimage point and its corresponding image point will lie on a line through the center of dilation. For points W and W', that line is the negative y-axis.
