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Mathematics 16 Online
OpenStudy (anonymous):

Given the points on the graph below, what are the coordinates of another point that would create a parallelogram? (5, 3) (5, 2) (5, 0) (5, 1)

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

see the left side

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

you have two points on y axis

OpenStudy (anonymous):

Those are 0.5 and 0.2 ?

ganeshie8 (ganeshie8):

you can think of those grids as floors in an apartment

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

one point is at 2nd floor :- 0 , 2

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

another point is at 5th floor :- 0, 5

OpenStudy (anonymous):

ok that makes sense

ganeshie8 (ganeshie8):

good :) those are the left side points

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

now tell me, how many floors are in between those two points

OpenStudy (anonymous):

there are 2 floors between

ganeshie8 (ganeshie8):

think again

ganeshie8 (ganeshie8):

if you're in 2nd floor, how many times you wud climb the stair case

ganeshie8 (ganeshie8):

first time :- 2nd to 3rd floor

ganeshie8 (ganeshie8):

second time :- 3rd to 4th floor

ganeshie8 (ganeshie8):

third time :- 4th to 5th floor

OpenStudy (anonymous):

so it would be 3, I wasn't sure if you counted the 5th floor

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

actually i asked the question wrongly...

ganeshie8 (ganeshie8):

i shoudl have asked, how high is 5th floor from the 2nd floor or something like that... but you get the point right.

ganeshie8 (ganeshie8):

now look at the third point

ganeshie8 (ganeshie8):

it is at 3rd floor :- (5, 3)

OpenStudy (anonymous):

yes I get the point.

OpenStudy (anonymous):

yes it is

ganeshie8 (ganeshie8):

with reference to this point, tell me the floor numbers that will be at same distance as we got before.. 3 floors away.

ganeshie8 (ganeshie8):

ground floor, will be 3 floors away from the 3rd floor, right ?

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

so the other point for parallelogram is (5, 0)

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

you can also have the other point as (5, 6)

OpenStudy (anonymous):

ok

ganeshie8 (ganeshie8):

cuz 6th floor is also 3 floors away from the 3rd floor

ganeshie8 (ganeshie8):

look at options and pick

ganeshie8 (ganeshie8):

one of those two points wud be there in options

OpenStudy (anonymous):

I originally thought it was 5,3

ganeshie8 (ganeshie8):

(5, 3) is already a given point.

ganeshie8 (ganeshie8):

how can another point be at the same point ?

OpenStudy (anonymous):

that makes sense, so would it be 5,0, that was my first choice but than I changed it.

ganeshie8 (ganeshie8):

Yes. its (5,0), since (5,6) is not given. in parallelogram opposite sides are equal. thats why the coordinates difference of both left side and right side should match (here it is 3 floors)

OpenStudy (anonymous):

ok thank you for explaining it.

ganeshie8 (ganeshie8):

np :)

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