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Mathematics 26 Online
OpenStudy (anonymous):

A scale drawing of a storage box on a coordinate grid shows a square with the points (-3, 5) and (1, 7) as the locations of two adjacent vertices. Which pair of coordinate points could represent the other two vertices? (-5, 9) and (-1, 11) (-5, 9) and (1, 11) (0, 1) and (3, 3) (0, 1) and (4, 3)

OpenStudy (phi):

Did you try to plot the points? It might help

OpenStudy (anonymous):

i don't have graph paper or anything and idk of any programs that could help

OpenStudy (phi):

You saw how I sketched it here. Try it on a piece of paper.

OpenStudy (anonymous):

Oh ok but when i plot the points what do i do?

OpenStudy (phi):

shows a square with the points (-3, 5) and (1, 7) as the locations of two adjacent vertices. adjacent vertices means the two corners are next to each other |dw:1330110143802:dw|

OpenStudy (phi):

so it looks like we have 2 possible ways to finish drawing the square.

OpenStudy (phi):

To figure out which pair works, do the same thing as the last problem. Find how far you move in x, and in y to get from the starting point to the ending point (the 2 they gave us) then see if any of the answers match. In this case we have 2 choices (I think) can you find them?

OpenStudy (anonymous):

-5,9 & 1,11

OpenStudy (phi):

to get from (-3, 5) and (1, 7) we go +4,+2 double check

OpenStudy (anonymous):

0,1 & 3,3

OpenStudy (phi):

OK, pay attention: start at (-3,5) add 4 to the x, add 2 to the y -3+4, 5+2 => 1,7 which is the 2nd point Now do it with each of the possible answers: I'll do the first one: (-5, 9) and (-1, 11) -5+4, 9+2= -1,11 (it matches!) Now check the next 3

OpenStudy (anonymous):

the last one matched too

OpenStudy (phi):

OK, now to help let's (roughly) sketch our possible square |dw:1330111128516:dw|

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