Question

Polygon L is dilated about the origin to form polygon P.

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Which statement is true?
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O The scale factor must be between 0 and 1 since polygon P is smaller than polygon L.
O The scale factor must be greater than 0 since polygon P is larger than polygon L.
O The scale factor must be greater than 1 since polygon P is larger than polygon L.
The scale factor must be less than 0 since polygon P is smaller than polygon L.

Answer 1

The scale factor must be greater than 1 since polygon P is larger than polygon L, which means it has been dilated to a size larger than the original polygon.

Step-by-step explanation:

The correct statement about the dilation of polygon L to form polygon P is: The scale factor must be greater than 1 since polygon P is larger than polygon L.

Dilation is a transformation that resizes an object to a proportional size, using a scale factor. If the scale factor is greater than 1, the object increases in size. If it's between 0 and 1, the object decreases in size. Since polygon P is larger than polygon L, the scale factor used in the dilation must be greater than 1.

It is also important to note that a scale factor cannot be less than 0, as a negative scale factor would involve a reflection in addition to a dilation, which is not the case here.