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A point is dilated by a scale factor of 1/3 centered about the origin, resulting in the new coordinates (-6,3). What are the coordinat
Question
A point is dilated by a scale factor of 1/3 centered about the origin, resulting in the
new coordinates (-6,3). What are the coordinates of the point prior to the
dilation?
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Mathematics
3 years
2021-07-29T17:08:55+00:00
2021-07-29T17:08:55+00:00 1 Answers
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Answers ( )
Answer:
(-18, 9)
Step-by-step explanation:
If a coordinate A(x,y) is dilated by a factor of k, the new coordinates will be expressed as;
A’ = (kx, ky)
A’ = A (kx, ky)
Given the following
k = 1/3
A’ = (-6, 3)
Substitute
(-6, 3) = 1/3(x, y)
Cross multiply
3(-6, 3) = (x, y)
(x, y) = (3(-6), 3(3))
(x, y) = (-18, 9)
Hence the coordinate prior to dilation is (-18, 9)