Question

4 i Rotate the figure 90° counterclockwise about the origin, and then reflect in the x-axis. Polygon 1. Move PREV 1 2 3

Answer 1

to rotate 90 degrees counterclockwise we must transform the points like this

`(x,y)\longrightarrow(y,-x)`

and then invert the sign of the y-coordinate or the second coordinate of each point, so the total transformation is

`(x,y)\longrightarrow(y,x)`

now, transform each point

`(0,4)\longrightarrow(4,0)`
`(0,1)\longrightarrow(1,0)`
`(2,1)\longrightarrow(1,2)`
`(2,4)\longrightarrow(4,2)`