anonymous
  • anonymous
how do u show that ABCD is a parallelogram
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
@mathmath333
anonymous
  • anonymous
@Vocaloid

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mathmath333
  • mathmath333
find the length of AD and BC first
anonymous
  • anonymous
@phi
anonymous
  • anonymous
how im i supposed to do that @mathmath333
mathmath333
  • mathmath333
|dw:1440709546470:dw| use pythagorus for AD
anonymous
  • anonymous
ok
phi
  • phi
there are 2 ways: show opposite sides have the same length (use the "distance formula") or show opposite sides have the same slope finding the slope is probably less work. to do either way, you first need the (x,y) coords of each corner.
phi
  • phi
Here are the 4 points A (0,4) B (5,6) C (6,2) D (1,0) now show the slopes of AB and CD are the same can you do that ? (remember slope is change in y divided by change in x)
anonymous
  • anonymous
im i suppose to divide 0,4 @phi
anonymous
  • anonymous
nevermind
phi
  • phi
do you remember how to find the slope between (0,4) and (5,6) ?
anonymous
  • anonymous
i have to subtract 4 and 6
anonymous
  • anonymous
then subtract 0 and 5 and divided???
anonymous
  • anonymous
is the slope 2/5 @phi
phi
  • phi
yes. the side AB has slope 2/5 the opposite side is CD find the slope between points C and D
anonymous
  • anonymous
5/2
phi
  • phi
you should get 2/5 . remember it is change in y divided by change in x (6,2) (1,0)
anonymous
  • anonymous
ooo ok
anonymous
  • anonymous
do i do the same for number 74
phi
  • phi
you are not done yet. you also have to show the sides AD and BC have the same slope (opposite sides have the same slope) so far you showed sides AB and CD have the same slope. now do AD and BC
anonymous
  • anonymous
slope for AD is 1/4
phi
  • phi
close but not 1/4 . also notice it should be negative (the line slopes down)
anonymous
  • anonymous
1/-4
phi
  • phi
show your work
phi
  • phi
what is change in y? what is change in x ?
anonymous
  • anonymous
-1/4
anonymous
  • anonymous
0,4 1,0 0 minus 1 is -1 4 minus 0 is 4
phi
  • phi
ok, and which is change in y
phi
  • phi
remember the points are (x,y) pairs in other words, 4 - 0 is the change in y the slope will be (4-0)/(0-1) = 4 / -1 = -4
phi
  • phi
finally show line BD has slope -4
phi
  • phi
for Q74, show line LM has slope m and line MN has slope -1/m (flipped and negated)
anonymous
  • anonymous
thx

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