Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Can you conclude that the quadrilateral is a parallelogram? Explain.
 one year ago
 one year ago
Can you conclude that the quadrilateral is a parallelogram? Explain.
 one year ago
 one year ago

This Question is Closed

alwaysdancing18Best ResponseYou've already chosen the best response.1
dw:1355467239515:dw
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Lets use a geometric argument.
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
If we draw a line such it it intersects two sides.
 one year ago

Dido525Best 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.
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Similarly, angle must equal angle c.
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
If we make two triangles, Triangle abc and triangle def
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
180ed must equal angle f.
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Are you following me so far?
 one year ago

alwaysdancing18Best ResponseYou've already chosen the best response.1
yes I am, I am writing this down
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Similarly, 180  a c must equal b.
 one year ago

alwaysdancing18Best ResponseYou've already chosen the best response.1
ok I dont understand what 180ac means
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Since a = d and c = e , therefore we can conclude f equal b.
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
I mean I am subtracting going: 180 degrees  angle a  angle c.
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Because in a triangle there is 180 degrees. Do you understand or shall I explain more?
 one year ago

alwaysdancing18Best 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?
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Yes you are correct but do you understand why?
 one year ago

alwaysdancing18Best ResponseYou've already chosen the best response.1
because.... nope I got nothing... I just remember thats a rule somewhere right?
 one year ago

alwaysdancing18Best 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?
 one year ago

Dido525Best 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 ;) .
 one year ago

Dido525Best 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.
 one year ago

Dido525Best ResponseYou've already chosen the best response.1
Ohh yeah, that's valid too :) .
 one year ago

alwaysdancing18Best ResponseYou've already chosen the best response.1
so to answer the question how do I conclude its a parallelogram?
 one year ago

Dido525Best 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.
 one year ago

alwaysdancing18Best 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
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.