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anonymous
 4 years ago
Can you conclude that the quadrilateral is a parallelogram? Explain.
anonymous
 4 years ago
Can you conclude that the quadrilateral is a parallelogram? Explain.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355467239515:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355456638221:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Lets use a geometric argument.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0If we draw a line such it it intersects two sides.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Since the lengths on the opposite sides are the same, according to the parallel lines theorem, angle a must equal angle d.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Similarly, angle must equal angle c.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0If we make two triangles, Triangle abc and triangle def

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0180ed must equal angle f.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Are you following me so far?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes I am, I am writing this down

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Similarly, 180  a c must equal b.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok I dont understand what 180ac means

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Since a = d and c = e , therefore we can conclude f equal b.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I mean I am subtracting going: 180 degrees  angle a  angle c.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Because in a triangle there is 180 degrees. Do you understand or shall I explain more?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh.. so does that mean 180 degrees has to be subtracted by angle a and c to find B? or am I completely wrong?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes you are correct but do you understand why?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0because.... nope I got nothing... I just remember thats a rule somewhere right?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355457201086:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355457242628:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Does that make sense?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so that means both ABC and DEF are equal because they were cut equally in half. So each triangle equal 180 and both together is 360?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah okay, you could reason it that way too :P . But you had to prove they were equal first ;) .

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You can only prove they are equal if you cut the quadrilateral in half like I said. THen you had to prove that I did cut it in half by proving all the angles were the same.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ohh yeah, that's valid too :) .

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so to answer the question how do I conclude its a parallelogram?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now since you have proved all the angles are the same on opposite sides, you can conclude that this quadrilateral in indeed a parralelogram because the opposite sides have the same length and the angles on opposite sides of each other are the same as well.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you so much for that. You were very patient and kind. I will remember this!! Thanks. :D
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