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Gabylovesyou Group Title

Write an indirect proof to show that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

  • 6 months ago
  • 6 months ago

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  1. Gabylovesyou Group Title
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    @ganeshie8 @phi @AccessDenied

    • 6 months ago
  2. phi Group Title
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    Here is what an indirect proof means http://regentsprep.org/Regents/math/geometry/GP3b/indirectlesson.htm

    • 6 months ago
  3. Gabylovesyou Group Title
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    ok.. so i would first start with A rectangle doesn't have congruent diagonals

    • 6 months ago
  4. phi Group Title
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    yes. That is as far as I got so far.

    • 6 months ago
  5. Gabylovesyou Group Title
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    lol! what happens next ? ;s

    • 6 months ago
  6. phi Group Title
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    draw a picture of a rectangle, label the sides , show the right angles. draw in a diagonal

    • 6 months ago
  7. Gabylovesyou Group Title
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    |dw:1396376755171:dw|

    • 6 months ago
  8. phi Group Title
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    show the angles are all 90º

    • 6 months ago
  9. Gabylovesyou Group Title
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    |dw:1396376914251:dw|

    • 6 months ago
  10. phi Group Title
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    the first thing that comes to mind is using pythagoras to find the length of a diagonal that leads to a direct proof. maybe we can tweak it to make in indirect.

    • 6 months ago
  11. Gabylovesyou Group Title
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    ok

    • 6 months ago
  12. phi Group Title
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    |dw:1396377047759:dw|

    • 6 months ago
  13. phi Group Title
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    does that make sense (so far ?)

    • 6 months ago
  14. Gabylovesyou Group Title
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    yes

    • 6 months ago
  15. phi Group Title
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    we could do the same thing for the other diagonal |dw:1396377220075:dw|

    • 6 months ago
  16. phi Group Title
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    if the diagonals are not equal to each other, that means a^2+b^2 ≠ a^2 + b^2 and that would only happen if we were not allowed to use the pythagorean theorem. But we have a right triangle (with 90º angle) so we are allowed. therefore our assumption that the diagonals are different must be wrong. that sure sounds convoluted, but it's the best I can come up with.

    • 6 months ago
  17. Gabylovesyou Group Title
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    the equal sign thing means does not equal ?

    • 6 months ago
  18. phi Group Title
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    yes, ≠ means does not equal

    • 6 months ago
  19. Gabylovesyou Group Title
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    ok so i tried doing it in my own words... im going to put it and then delete it

    • 6 months ago
  20. Gabylovesyou Group Title
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    @phi

    • 6 months ago
  21. Gabylovesyou Group Title
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    @phi DONT LEAVE ME haha

    • 6 months ago
  22. phi Group Title
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    I would change that means that a^2 + b^2 does not equal a^2 + b^2 if we are not allowed to that means that a^2 + b^2 does not equal a^2 + b^2 SO we are not allowed

    • 6 months ago
  23. Gabylovesyou Group Title
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    thanks

    • 6 months ago
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