#12
If he point (x, y) rotates around the orgigin by an angle of 90 degrees anti-clockwise, then its image is (-y, x)
Just change the sign of the y-coordinate, thenswitch the 2 coordinates
From the given picture we can see
Triangle ABC where
A = (-1, 5)
B = (-2, 2)
C = (-4, 1)
Triangle A'B'C' where
A' = (-5, -1)
B' = (-2, -2)
C' = (-1, -4)
The signs of all y-coordinates changed
Th coordinates are switched, then
Triangle A'B'C' is te image of triangle ABC after rotatin around the origin by an ngle of 90 degrees anti-clockwise
The rule of transformation is
![R\rightarrow(O,90^(\circ))](https://img.qammunity.org/2023/formulas/mathematics/college/6gdlj2l76uvvyfalsbrcjb6djsk9zfk8ch.png)