SOLUTION: Find the image of a point under a dilation centered at (0,0) with the given scale factor.
(-4,7)
scale factor=0.2
i don't understand how to do centered dilations can some one
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Question 1117656: Find the image of a point under a dilation centered at (0,0) with the given scale factor.
(-4,7)
scale factor=0.2
i don't understand how to do centered dilations can some one please help me and show me step by step
Found 2 solutions by rothauserc, solver91311:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Just like your problem, the most common center of dilation is the origin of the coordinate plane (0,0)
:
-4 * .2 = -.8
:
x = -.8
:
7 * .2 = 1.4
:
y = 1.4
:
point is (-.8, 1.4)
:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the dilation is centered at the origin, then take the scale factor and multiply it times each of the coordinates of the given point to obtain the coordinates of the image.
Do not confuse the "conversational" meaning of dilation with the mathematical meaning. Conversationally, we think of dilation as something getting bigger, like when you go to the eye doctor and have your pupils dilated. But mathematically, a dilation is simply a change in size, getting either larger or smaller. In the case of your given problem, the point actually gets closer to the origin as if the picture were shrinking.
John
My calculator said it, I believe it, that settles it
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