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alwaysdancing18
 3 years ago
Can you conclude that the quadrilateral is a parallelogram? Explain.
alwaysdancing18
 3 years ago
Can you conclude that the quadrilateral is a parallelogram? Explain.

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alwaysdancing18
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1355467239515:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Lets use a geometric argument.

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

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

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Similarly, angle must equal angle c.

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

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1180ed must equal angle f.

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

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

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

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

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

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

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

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

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

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

alwaysdancing18
 3 years ago
Best ResponseYou've already chosen the best response.1so 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?

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

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1You 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.

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

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

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Now 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.

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