The image of polygon MNOP after a similarity transformation is polygon WXYZ. Each side of MNOP is 2 times as long as the corresponding side of WXYZ. What is the scale factor of the dilation in the similarity transformation?
Question:
The image of polygon MNOP after a similarity transformation is polygon WXYZ. Each side of MNOP is 2 times as long as the corresponding side of WXYZ. What is the scale factor of the dilation in the similarity transformation?
a) 4.
b) 0.5.
c) 2.
d) 0.25.
Answers (1)
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Beatrice April 17, 2023 в 03:00The correct answer is c) 2. In a similarity transformation, the shape of the polygon is preserved but it may be resized, reflected or rotated. In this case, the sides of MNOP are 2 times as long as the corresponding sides of WXYZ. This means that the scale factor of the dilation is 2. To see why, consider that a dilation is a transformation that changes the size of a figure but not its shape. It is also known as a resizing or scaling transformation. The scale factor is the ratio of the lengths of the corresponding sides of the two polygons. So, if each side of MNOP is 2 times as long as the corresponding side of WXYZ, then the scale factor is 2. This means that the dilation enlarges WXYZ by a factor of 2 to create MNOP.
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