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

Question

asked Oct 1, 2023 217k views

1 Answer

Tim Autin · Answer 1 · 2023-10-07T17:19:21+0000

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

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