anonymous
  • anonymous
Given: Quadrilateral ABCD is a parallelogram Prove AB is congruent to CD and BC is congruent to AD Edit: got step 7 guys, its Triangle ABC is congruent to CDA (C, if i remember correctly) Will be back with step 2 answer. EDIT 2: Got it guys step two is ABllCD and BCllAD and the reason is definition of a parrelelogram i hope tihs helps you'll prolly see this when its a year old lol bet money
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous

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anonymous
  • anonymous
the obligatory will fan will medal
anonymous
  • anonymous
@misssunshinexxoxo
anonymous
  • anonymous
help pls
anonymous
  • anonymous
@dan815 how much do your services cost?
dan815
  • dan815
okay there are some basic triangle theorems you have to know 3 main ones are AAS, SSS, and SAS theorems that if satisfied means the 2 triangles are congruent
anonymous
  • anonymous
All righty
dan815
  • dan815
the next is parallel lines and which angles are equal lets start there!
anonymous
  • anonymous
ok
dan815
  • dan815
Lets first draw 2 parallel lines and see if we can find something about an intersection of a line through them
dan815
  • dan815
|dw:1435329917728:dw|
dan815
  • dan815
|dw:1435329932545:dw|
anonymous
  • anonymous
ok
dan815
  • dan815
oky we know that angle 1 = angle 2 , as these are opposite angles and opposite angles have ot be equal
dan815
  • dan815
we can see this very easily as angles along a straight line add up to 180
anonymous
  • anonymous
yes they do
anonymous
  • anonymous
supplementary, right?
dan815
  • dan815
|dw:1435330043205:dw|
dan815
  • dan815
you see how that angle in between 1 and 2, is 180 - angle 2 or 180 - angle 1
dan815
  • dan815
this means angle 2 and 1 have to be the same
dan815
  • dan815
tell me if you understand that
anonymous
  • anonymous
im following so far
dan815
  • dan815
okay now you know why opposite angles are equal, lets move on
dan815
  • dan815
|dw:1435330127812:dw|
dan815
  • dan815
im not sure exactly how to prove that one, but take that as face value its more intuitive, it must be true kinda thing
anonymous
  • anonymous
ok
anonymous
  • anonymous
lol
dan815
  • dan815
like think about it it angle 3 is not the same as angle 1
dan815
  • dan815
then these lines cannot be parallel right
dan815
  • dan815
beccause somewhere at some point they will intersect and form a triangle
anonymous
  • anonymous
correct
dan815
  • dan815
okay so thats all we need to solve your question
dan815
  • dan815
now lets make a parallelogram
dan815
  • dan815
|dw:1435330263015:dw|
dan815
  • dan815
|dw:1435330293860:dw|
dan815
  • dan815
|dw:1435330340749:dw|
dan815
  • dan815
these angles have to be the same here
dan815
  • dan815
from the parallel lines we saw before its like this Z pattern
anonymous
  • anonymous
ok
dan815
  • dan815
can you really see that
anonymous
  • anonymous
yes i can
dan815
  • dan815
can you tell me what other angles have to be the same from this same idea
anonymous
  • anonymous
|dw:1435330489666:dw|
dan815
  • dan815
yep that is right, now what does that mean about the remaining angle
anonymous
  • anonymous
to be honest, im not sure.
dan815
  • dan815
okay lets think about it
dan815
  • dan815
all angles in a triangle add upto what
dan815
  • dan815
|dw:1435330606939:dw|
anonymous
  • anonymous
ohh 180
anonymous
  • anonymous
and since theres 2 in the parrelelogram its 360 degrees
dan815
  • dan815
okay now u see both triangles in there have an angle that is a and angle that is b
dan815
  • dan815
what is the remaining angle?
dan815
  • dan815
the remaining angles have to be equal too... tell me why
anonymous
  • anonymous
because of the alternate exterior?
dan815
  • dan815
forget that stuff, think logic
dan815
  • dan815
we know all the angles add upto 180 right
dan815
  • dan815
a+b+the remaining angle is 180
anonymous
  • anonymous
yes
dan815
  • dan815
then the same remaining angle must be on the bottom too as there is an a and a b
anonymous
  • anonymous
ok
dan815
  • dan815
so we have 3 samme angles and a side that is the same, as the diagonal is shared
dan815
  • dan815
|dw:1435330902779:dw|
dan815
  • dan815
so by AAS rule, these triangles are congruent
anonymous
  • anonymous
ok
dan815
  • dan815
okay bye
anonymous
  • anonymous
thank you, later on today i will reward you with owl bucks for your torubles.

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