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Gabylovesyou
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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
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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Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
@ganeshie8 @phi @AccessDenied
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
Here is what an indirect proof means http://regentsprep.org/Regents/math/geometry/GP3b/indirectlesson.htm
 6 months ago

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
ok.. so i would first start with A rectangle doesn't have congruent diagonals
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
yes. That is as far as I got so far.
 6 months ago

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
lol! what happens next ? ;s
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
draw a picture of a rectangle, label the sides , show the right angles. draw in a diagonal
 6 months ago

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
dw:1396376755171:dw
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
show the angles are all 90º
 6 months ago

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
dw:1396376914251:dw
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
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

phi Group TitleBest ResponseYou've already chosen the best response.2
dw:1396377047759:dw
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
does that make sense (so far ?)
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
we could do the same thing for the other diagonal dw:1396377220075:dw
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
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

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
the equal sign thing means does not equal ?
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
yes, ≠ means does not equal
 6 months ago

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
ok so i tried doing it in my own words... im going to put it and then delete it
 6 months ago

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
@phi DONT LEAVE ME haha
 6 months ago

phi Group TitleBest ResponseYou've already chosen the best response.2
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

Gabylovesyou Group TitleBest ResponseYou've already chosen the best response.1
thanks
 6 months ago
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