At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
@calculusxy @phi @peachpi
pick a point on rectangle JKLM, say point J which is at (-5,1) where is point J' ?
In my opinion is A, but im not sure i just need an explanation
say point J which is at (-5,1) where is point J' ? can you find point J' and "read off" its (x,y) coordinates?
Point J is at 4,5
point J prime J' yes, it is at x=4 what is its y ? (its y is not 5)
y is at 3? im not sure about y
how many "steps up" (or boxes) from the x-axis up to J' ?
ohhh, yes i see them
so how far up to J' ?
how far up from the x-axis? (2 gets us 1/2 way)
3 then, i really dont know omg
ohhh i get it now
the corner of the box (labeled J') is at (4,4) from the "origin" you move sideways 4 steps, then 4 steps straight up.
so J at (-5,1) moved to J' at (4,4) what do we add to -5 to make it 4 ? what do we add to 1 to make it 4 ?
1 and 3
ok on the 3 (so remember we add 3 to the y number) but -5+1 = -4 and we want +4
so what do we do? :/
the other way to figure it out is put your finger on J and count how many steps to the right until you are directly under J' (it is more than 1 step)
when I say point J, I mean the corner of the rectangle labeled J it is at (-5,1)
i dont get it, the part of counthing steps to the right
can you put your finger on the corner of the rectangle near the label J ?
and move your finger to the right one box, then two boxes, and so on ?
okay i do that up to where?
keep doing that (and counting) until you are directly under the corner of the rectangle labeled J'
if you count it right, it should take 5 steps to get to the y-axis. and we still have some more steps to get to be under J
so its more than 5? its not A like i thought it was?
this is a complicated problem. we are trying to figure out how much they moved point J to get to J' we see it was "slid over" so many steps. we need to figure out how far. it is the number of steps to take us from -5 to +4
yes ii see that.
we need to count how many steps from J to get to the "red 1" that is under J'
which J i dont get this sorry.
yes. another way to find that is to do 4 - (-5) = 4+5 = 9 but the idea is we ADD 9 to x and ADD 3 to y
i think it was easier counting the boxes lol
it is good to learn how to do the subtraction idea. but now we are almost ready to answer the question What will be the location of U' first, can you read off the (x,y) coords of point U ?
6 and im not sure about the y cord
in case you did not know, we are interested in the "corners" of the shape (not where the label is ) yes 7 over. now how far down ? (look on the y-axis... what number is straight across to the red circle) (or count down)
2? im confused there
it's -2 because we count down (from the x-axis) (+2 would be 2 above the x-axis)
yes, -2 sorry.
if you put your finger at the "orgin" (where the x-axis and y-axis cross) you count down 2 steps, then 7 steps to the right, and you will be at the red circle.
so we figured out that U is at (-2,7) we now use the "rule" (from up above) if we can still remember it! ADD 9 to x and ADD 3 to y to find where U' is can you do that ?
so i add 9 to -2 abd 3 to 7?
oops, I confused the x and y. but yes what you said, but with the correct numbers: so we figured out that U is at (7,-2) we now use the "rule" (from up above) if we can still remember it! ADD 9 to x and ADD 3 to y to find where U' is can you do that ?
16 and 1
yes. so that is where U' is
so the correct answer is D
thank you so much!