Ask your own question, for FREE!
Mathematics 25 Online
OpenStudy (anonymous):

how do u show that ABCD is a parallelogram

OpenStudy (anonymous):

OpenStudy (anonymous):

@mathmath333

OpenStudy (anonymous):

@Vocaloid

OpenStudy (mathmath333):

find the length of AD and BC first

OpenStudy (anonymous):

@phi

OpenStudy (anonymous):

how im i supposed to do that @mathmath333

OpenStudy (mathmath333):

|dw:1440709546470:dw| use pythagorus for AD

OpenStudy (anonymous):

ok

OpenStudy (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.

OpenStudy (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)

OpenStudy (anonymous):

im i suppose to divide 0,4 @phi

OpenStudy (anonymous):

nevermind

OpenStudy (phi):

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

OpenStudy (anonymous):

i have to subtract 4 and 6

OpenStudy (anonymous):

then subtract 0 and 5 and divided???

OpenStudy (anonymous):

is the slope 2/5 @phi

OpenStudy (phi):

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

OpenStudy (anonymous):

5/2

OpenStudy (phi):

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

OpenStudy (anonymous):

ooo ok

OpenStudy (anonymous):

do i do the same for number 74

OpenStudy (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

OpenStudy (anonymous):

slope for AD is 1/4

OpenStudy (phi):

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

OpenStudy (anonymous):

1/-4

OpenStudy (phi):

show your work

OpenStudy (phi):

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

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!