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 10 months ago
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.
 10 months ago
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.

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Gabylovesyou
 10 months ago
Best ResponseYou've already chosen the best response.1@ganeshie8 @phi @AccessDenied

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

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

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

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

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

Gabylovesyou
 10 months ago
Best ResponseYou've already chosen the best response.1dw:1396376755171:dw

phi
 10 months ago
Best ResponseYou've already chosen the best response.2show the angles are all 90º

Gabylovesyou
 10 months ago
Best ResponseYou've already chosen the best response.1dw:1396376914251:dw

phi
 10 months ago
Best ResponseYou've already chosen the best response.2the 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.

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

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

phi
 10 months ago
Best ResponseYou've already chosen the best response.2if 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.

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

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

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

Gabylovesyou
 10 months ago
Best ResponseYou've already chosen the best response.1@phi DONT LEAVE ME haha

phi
 10 months ago
Best ResponseYou've already chosen the best response.2I 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
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