reflection across y= x
k(-5,-2), A(-4, 1), I (0,-1), J(-2,-4)
diagram
To reflect a point across the line y=x, we need to switch the x-coordinate with the y-coordinate.
The given points are:
k(-5,-2), A(-4, 1), I (0,-1), J(-2,-4)
To reflect them across y=x, we switch the x and y coordinates:
k' = (-2, -5)
A' = (1, -4)
I' = (-1, 0)
J' = (-4, -2)
The reflected points are:
k'(-2, -5), A'(1, -4), I'(-1, 0), J'(-4, -2)
The diagram will show the original points and the reflected points across y=x.
Coordinates:
Original Points:
k(-5,-2), A(-4, 1), I (0,-1), J(-2,-4)
Reflected Points (across y=x):
k'(-2, -5), A'(1, -4), I'(-1, 0), J'(-4, -2)
Diagram:
(reflection across y=x)
| |
(-2,-5)| |
| |
_________|_________|_________
| |
| |
(-4, 1)| | (1, -4)
| |
_________|_________|_________
| |
| |
(0, -1)| | (-1, 0)
| |
_________|_________|_________
| |
| |
(-2, -4)| |
| |