Can someone please help me? Thanks

Question

Can someone please help me? Thanks <3 :)

f_jayyy · Answer

Yes :)

anonymous · Answer

Yay!! Thanks @F_Jayyy

anonymous · Answer

@imqwerty

anonymous · Answer

Write a proof to show that the diagonals of a parallelogram bisect one another. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

alones · Answer

@BayleighXOX may I see the question :)

anonymous · Answer

i have it already up there @AloneS :)

alones · Answer

ooh I'm sorry maybe i'm blind but I can't see it there :/

anonymous · Answer

Write a proof to show that the diagonals of a parallelogram bisect one another. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

There it is again! :))

alones · Answer

aah I see okayii

anonymous · Answer

are you good at proofs? Just to make sure lol

anonymous · Answer

@imqwerty @F_Jayyy

anonymous · Answer

@Awolflover1

imqwerty · Answer

okay 1st we draw a nice parallelogram

anonymous · Answer

any type?

anonymous · Answer

|dw:1453403751469:dw| how is this?

imqwerty · Answer

its cool  :) i added some colors to it-> |dw:1453403849888:dw|

anonymous · Answer

okay I don't have to include the parallelogram just need to create a proof

imqwerty · Answer

okay =]
so now we have a parallelogram ABCD and the diagonals intersect at O

now 1st we must know that opposite sides of a parallelogram are equal in length
okay till here? :)

anonymous · Answer

you mean like side AD and BC are equal in length?

imqwerty · Answer

yes 
it is a property of parallelograms
the opposite sides are equal and parallel

anonymous · Answer

right understand so far

imqwerty · Answer

now we look at triangles AOB and DOC
can you prove them congruent

anonymous · Answer

triangles?? oh wait Idk

anonymous · Answer

well they have a common midpoint being "O"

anonymous · Answer

you there?

imqwerty · Answer

yeah 
okay look at the shaded triangles|dw:1453404709299:dw|

we want to prove them congruent
we know that AB=DC 

now tell this->can we say that    $∠1=∠4$

anonymous · Answer

angle ABE is congruent to angle CDE --> alternate interior angles?

imqwerty · Answer

yes correct!! :D
similarly can we say that $∠2=∠3$  ?

anonymous · Answer

I think I have the proof!

imqwerty · Answer

:D Yay!! :D

anonymous · Answer

YEAH! Can you help me with 2 more by any chance?

imqwerty · Answer

ofc i can (B

anonymous · Answer

Yay! Let me close this and do a new post :)

imqwerty · Answer

okay :)