Question

Find the coordinates of the image after a reflection in the given line:

Answer 1

{1, 3, -2}
{1, 9, 5}
Where y=-x

Answer 2

(it's a matrix again) @jim_thompson5910

Answer 3

so it looks like you're reflecting (1,1), (3,9) and (-2,5) over the line y = -x

Answer 4

Is there a rule for that?

Answer 5

let me look

Answer 6

ok to reflect over y = x means you simply swap x and y

(x,y) ----> (y,x)

to reflect over y = -x, we swap x and y but we follow these added rules

* if the point is originally in Q1, then it moves to Q3
* if the point is originally in Q2, then it stays in Q2
* if the point is originally in Q3, then it moves to Q1
* if the point is originally in Q4, then it stays in Q4

Answer 7

so for example

(2,1) turns into (-1,-2)

1 and 2 swapped places. I made the coordinates negative because (2,1) is in Q1, so it moves to Q3 where everything is negative

Answer 8

Okay
so would it be:
{-1, -9, -5}
{-1, -3, 2}

Answer 9

that is correct

Answer 10

Thank you! I have one last one :)