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Answer :
Trapezoid ABCD is not the result of the dilation of trapezoid MNPQ by a scale factor of 2/5 because AB is 2/5 the length MN but CD is 1/3 the length QP.
What is Scale Factor?
Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given a trapezoid ABCD and another trapezoid MNPQ.
From the figure,
length of AB = 2 + 2 = 4
Length of MN = 5 + 5 = 10
Scale factor = 4/10 = 2/5
Now,
Length of CD = 1 + 1 = 2
Length of QP = 3 + 3 = 6
Scale factor = 2/6 = 1/3
That is, the scale factor differs.
Hence the correct option is C.
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No, because AB is 2/5 the length MN but CD is 1/3 the length QP.
What is Dilation?
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Given:
As, Comparing the corresponding sides, the length of AB is 4.
The length of MN is 10. This makes their ratio 4/10 = 2/5.
and, the CD length is 2.
QP has a length of 6. Consequently, their ratio is 2/6 = 1/3.
Therefore, because the side ratios differ, the figure is not proportionate and is not a dilation.
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