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alwaysdancing18
Group Title
Can you conclude that the quadrilateral is a parallelogram? Explain.
 2 years ago
 2 years ago
alwaysdancing18 Group Title
Can you conclude that the quadrilateral is a parallelogram? Explain.
 2 years ago
 2 years ago

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alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
dw:1355467239515:dw
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
dw:1355456638221:dw
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Lets use a geometric argument.
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
ok....
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
If we draw a line such it it intersects two sides.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Since the lengths on the opposite sides are the same, according to the parallel lines theorem, angle a must equal angle d.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Similarly, angle must equal angle c.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
If we make two triangles, Triangle abc and triangle def
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
180ed must equal angle f.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Are you following me so far?
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
yes I am, I am writing this down
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Similarly, 180  a c must equal b.
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
ok I dont understand what 180ac means
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Since a = d and c = e , therefore we can conclude f equal b.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
I mean I am subtracting going: 180 degrees  angle a  angle c.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Because in a triangle there is 180 degrees. Do you understand or shall I explain more?
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
oh.. so does that mean 180 degrees has to be subtracted by angle a and c to find B? or am I completely wrong?
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Yes you are correct but do you understand why?
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
because.... nope I got nothing... I just remember thats a rule somewhere right?
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
dw:1355457201086:dw
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
dw:1355457242628:dw
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Does that make sense?
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
so 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?
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
yeah okay, you could reason it that way too :P . But you had to prove they were equal first ;) .
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
SAS?
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
You 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.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Ohh yeah, that's valid too :) .
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
so to answer the question how do I conclude its a parallelogram?
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Now 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.
 2 years ago

alwaysdancing18 Group TitleBest ResponseYou've already chosen the best response.1
Thank you so much for that. You were very patient and kind. I will remember this!! Thanks. :D
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
You are welcome :) .
 2 years ago
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