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There seems to be missing info

that is the whole question

so they want you to make up coordinates for X,Y, and Z?

review your flvs lessons, maybe it will help

I have done that already

ok pick a random point that doesn't lie on the line y = x
what point did you pick?

3,2

what do you get if you reflected that over the line y = x ?

Try graphing it on graph paper

would it be 1,3

close

reflecting (x,y) over y = x gives you (y,x)

2,3

(3,2) --> (2,3), yep

can you help me form an explanation?

plot those two points and the line y = x

idk

did you plot those things on the coordinate grid?

yes

can you see how the segment is perpendicular to the line?

and how the line cuts the segment in half?

no

|dw:1437183096084:dw|

|dw:1437183138336:dw|

|dw:1437183151297:dw|

both points are the same distance away from the line

ok

I need to form a paragraph