In 2014, the three largest economies in the world were (listed in order, from largest):
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Given:
Consider the two points are B(2,3) and B'(-4,-6).
Center of dilation is the origin.
To find:
The scale factors of this dilation that transformed B into B'.
Solution:
If a figure dilatated by scale factor k and center of dilation is the origin, then
It means, the point after dilation is
where, k is the scale factor.
x-coordinate of image is -4 and x-coordinate of original point is 2.
Therefore, the scale factor is -2. It means, the point and image lie on the opposite sides of center of dilation.