Respuesta :

#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

[tex]R\rightarrow(O,90^{\circ})[/tex]