how do u show that ABCD is a parallelogram

- anonymous

how do u show that ABCD is a parallelogram

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- anonymous

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@mathmath333

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## More answers

- mathmath333

find the length of AD and BC first

- anonymous

@phi

- anonymous

how im i supposed to do that @mathmath333

- mathmath333

|dw:1440709546470:dw|
use pythagorus for AD

- anonymous

ok

- 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

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

im i suppose to divide 0,4 @phi

- anonymous

nevermind

- phi

do you remember how to find the slope between
(0,4) and (5,6) ?

- anonymous

i have to subtract 4 and 6

- anonymous

then subtract 0 and 5 and divided???

- anonymous

is the slope 2/5 @phi

- phi

yes. the side AB has slope 2/5
the opposite side is CD
find the slope between points C and D

- anonymous

5/2

- phi

you should get 2/5 . remember it is change in y divided by change in x
(6,2)
(1,0)

- anonymous

ooo ok

- anonymous

do i do the same for number 74

- 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

slope for AD is 1/4

- phi

close but not 1/4 . also notice it should be negative (the line slopes down)

- anonymous

1/-4

- phi

show your work

- phi

what is change in y?
what is change in x ?

- anonymous

-1/4

- anonymous

0,4 1,0 0 minus 1 is -1
4 minus 0 is 4

- phi

ok, and which is change in y

- 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

finally show line BD has slope -4

- phi

for Q74, show line LM has slope m and line MN has slope -1/m (flipped and negated)

- anonymous

thx

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