AB has a length of 5 cm the line segment is dilated to produce A'B' which has a length of 2 cm what is the scale factor of the dilation
2/5
2004-01-04-05-00_files/i0230000.jpg has a length of 5 cm. The line segment is dilated to produce 2004-01-04-05-00_files/i0230001.jpg, which has a length of 2 cm. Find the scale factor of the dilation.
To find the scale factor of the dilation, you can divide the length of the image (A'B') by the length of the original segment (AB).
Scale Factor = Length of A'B' / Length of AB
Given:
Length of AB = 5 cm
Length of A'B' = 2 cm
Scale Factor = 2 cm / 5 cm
Scale Factor = 0.4
Therefore, the scale factor of the dilation is 0.4.
To find the scale factor of a dilation, you need to compare the corresponding lengths of two similar figures before and after the dilation.
In this case, AB has a length of 5 cm, and after the dilation, A'B' has a length of 2 cm.
To find the scale factor, divide the length of the dilated segment by the length of the original segment:
Scale factor = A'B' / AB
Scale factor = 2 cm / 5 cm
Simplifying the fraction, we get:
Scale factor = 0.4
Therefore, the scale factor of the dilation is 0.4.