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The figure below shows a square ABCD and an equilateral triangle DPC.
Ted makes the chart shown below to prove that triangle APD is congruent to triangle BPC.
What is the error in Ted’s proof?
 one year ago
 one year ago
The figure below shows a square ABCD and an equilateral triangle DPC. Ted makes the chart shown below to prove that triangle APD is congruent to triangle BPC. What is the error in Ted’s proof?
 one year ago
 one year ago

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bazihamBest ResponseYou've already chosen the best response.2
ok the angel ADP=BCP=30 No =60
 one year ago

phiBest ResponseYou've already chosen the best response.0
I think the 3rd line is close but still wrong. the angles inside the equilateral triangle are 60 but the angles he picked out are 9060= 30 not 60
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
I never really understood proofs..... :(
 one year ago

bazihamBest ResponseYou've already chosen the best response.2
dw:1357766947082:dw a+c=b+d=90 a=b=60 => c=d=30
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
So if the 3rd one is wrong, then which answer is it?
 one year ago

bazihamBest ResponseYou've already chosen the best response.2
for example if you have x=(2+2)/2 you know answer is 2 but you can eliminate as below dw:1357767118129:dw so the answer is true but proof is false
 one year ago

phiBest ResponseYou've already chosen the best response.0
for these kinds of proofs, showing 2 triangles are congruent, you use one of the standard approaches: SSS, SAS, or ASA knowing that the sides of the triangles are part of a square and an equilateral triangle should be a clue to use SAS (you know 2 sides) or maybe SSS. to use SAS you need to show the angle between the sides are = for this last bit, use the fact that the angles in a square are 90 the angles in an equilateral triangle are 60 can you see how to figure out angle ADP ?
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
Like, if it's 60, then how do we solve the rest?
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
@phi I don't understand...
 one year ago

bazihamBest ResponseYou've already chosen the best response.2
you must just proof that the angel ADP=BCP=30 No =60 and it is very easy because 1 every angel on equilateral triangle are equal , and we know sum of angels of triangle is 180, so each angel in equilateral triangle is equal to 60 2every angel in square are 90, so 90=ADP+PDC=ADP+60 so ADP=30 3 as follow PCB=30 (9060=30) 4 so Proof is complet
 one year ago

NickBarriBest ResponseYou've already chosen the best response.0
so whats the answer @Sunshine447 ?
 one year ago
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