Center of Dilations?

HappyDough

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Jul 7, 2014
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Hi, I'm a middleschool student. We're learning about transformations of figures and we've just gotten to dilations. Our teacher handed out homework, but either she didn't tell us how to do it or I didn't catch it in class during an attention lapse. Please help:

I don't know how to find the center of dilation for a figure. Could someone walk me through it briefly? I can also post pictures of my homework question if that would help. Thanks!


IMG_20141021_174629.jpg
Hope that's enough information. Thank you! :)
 
Hi, I'm a middleschool student. We're learning about transformations of figures and we've just gotten to dilations. Our teacher handed out homework, but either she didn't tell us how to do it or I didn't catch it in class during an attention lapse. Please help:

I don't know how to find the center of dilation for a figure. Could someone walk me through it briefly? I can also post pictures of my homework question if that would help. Thanks!


View attachment 4532
Hope that's enough information. Thank you! :)

Can you please tell us the definition of Center of dilation?
 
Um...

Is it the point where the figure enlarges and reduces? Sometimes it's the origin and other times it's not.

That's all I know about it from looking online. Sorry. My teacher didn't really have a lesson on it, she mostly just taught us about scale factors.
 
Notice that Subhotosh Khan asked for the definition of "center of dilation", not a general idea like "the point where the figure enlarges and reduces".
In mathematics definitions are "working definitions"- you use the precise words of the definition in proofs or solving problems. Surely somewhere in your textbook or notes there is an actual definition of "center of dilation"?
 
Notice that Subhotosh Khan asked for the definition of "center of dilation", not a general idea like "the point where the figure enlarges and reduces".
In mathematics definitions are "working definitions"- you use the precise words of the definition in proofs or solving problems. Surely somewhere in your textbook or notes there is an actual definition of "center of dilation"?

The closest thing I could find was "Center of Rotation" which is "the point about which a figure is rotated".

I asked the teacher the next day (the day the homework was due) and she just told me to circle the dark dot. There was a mistake in the diagram, apparently, because it gave us the answer, so she didn't count anything wrong.
Thank you all, though.
 
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