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anonymous

  • 4 years ago

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...

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  1. anonymous
    • 4 years ago
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    well they are the same shape for a start and corresponding sides are in the same proportion

  2. anonymous
    • 4 years ago
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    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!

  3. anonymous
    • 4 years ago
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    |dw:1327255677159:dw|

  4. anonymous
    • 4 years ago
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    the small triangle is similar to the large one corresponding angles are the same and sides in same ratio

  5. anonymous
    • 4 years ago
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    How do you write that ratio?

  6. anonymous
    • 4 years ago
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    |dw:1327255917730:dw|

  7. anonymous
    • 4 years ago
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    triangles ABC and ADE are similar so AD = DE = AE -- -- -- AB BC AC so knowing length of 3 sides you can find one side

  8. anonymous
    • 4 years ago
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    ??? So, so if you are just given the shape, and the sides, how do you prove that they are similar?

  9. anonymous
    • 4 years ago
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    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

  10. anonymous
    • 4 years ago
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    hmmm

  11. anonymous
    • 4 years ago
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    triangles are proved to be similar if 2 corresponding angles are equal (therefore third is equal) or corresponding sides are in same proportion

  12. anonymous
    • 4 years ago
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    I get the first reason, but not the second. What about other shapes (rhombi, squares, etc)?

  13. anonymous
    • 4 years ago
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    a good site to explain is http://library.thinkquest.org/20991/geo/spoly.html

  14. anonymous
    • 4 years ago
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    its equally true for all other polygons

  15. anonymous
    • 4 years ago
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    I feel a little bad for you having to explain this to a dumb person! Thanks for your help though!!

  16. anonymous
    • 4 years ago
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    it works both ways - if shape is same then corresponding sides are in same proportion and vice versa

  17. anonymous
    • 4 years ago
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    thats ok - yw

  18. anonymous
    • 4 years ago
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    It's starting to make sense now!!

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