anonymous
  • anonymous
Ok, well I'm going to start at the beginnig of cramming for this test. Can anyone explain similar polygons? In my book there are a buncj=h of proportions, if that helps you kno0w how to explain this...
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
well they are the same shape for a start and corresponding sides are in the same proportion
anonymous
  • anonymous
Ok, I know that they are the same shape, and I know how to cross multiply, but how do you get from the fact that they are the same shape, to that they are similar using proportions? If you can draw how, I would understand it better. Thanks!
anonymous
  • anonymous
|dw:1327255677159:dw|

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anonymous
  • anonymous
the small triangle is similar to the large one corresponding angles are the same and sides in same ratio
anonymous
  • anonymous
How do you write that ratio?
anonymous
  • anonymous
|dw:1327255917730:dw|
anonymous
  • anonymous
triangles ABC and ADE are similar so AD = DE = AE -- -- -- AB BC AC so knowing length of 3 sides you can find one side
anonymous
  • anonymous
??? So, so if you are just given the shape, and the sides, how do you prove that they are similar?
anonymous
  • anonymous
this is true for all similar polygons the areas can also be found using (in above example): AD|^2 / AB^2 = area ADE / area ABC
anonymous
  • anonymous
hmmm
anonymous
  • anonymous
triangles are proved to be similar if 2 corresponding angles are equal (therefore third is equal) or corresponding sides are in same proportion
anonymous
  • anonymous
I get the first reason, but not the second. What about other shapes (rhombi, squares, etc)?
anonymous
  • anonymous
a good site to explain is http://library.thinkquest.org/20991/geo/spoly.html
anonymous
  • anonymous
its equally true for all other polygons
anonymous
  • anonymous
I feel a little bad for you having to explain this to a dumb person! Thanks for your help though!!
anonymous
  • anonymous
it works both ways - if shape is same then corresponding sides are in same proportion and vice versa
anonymous
  • anonymous
thats ok - yw
anonymous
  • anonymous
It's starting to make sense now!!

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