Scale factor for the dilation of line segment AB to create line segment A'B' at the point Q is 2.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
Line segment AB is dilated to create line segment A'B' and point Q is the center of dilation.
The length of QA is 1.25 units and the length of AA' is 1.25 units.
The length of QA' is the sum of length of QA and AA'. Thus,
[tex]QA'=1.25+1.25\\QA'=2.5[/tex]
As the the distance increases from 1.25 to 2.5. Thus the scale factor is,
[tex]r=\dfrac{2.5}{1.25}\\r=2[/tex]
Thus the scale factor for the dilation of line segment AB to create line segment A'B' at the point Q is 2.
Learn more about the scale factor here;
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