Question

Triangle JKL is rotated 90 degrees about the origin and then translated using (x,y) ➡️ (x-8, y+5). What are the coordinates of the final image of point L under this composition of transformation?

a. (-7,10)
b. (-7,0)
c. (-9,10)
d. (-9,0)

Answer 1

The coordinates of point L = (5,-1)

For a rotation of 90°:  (x, y) ⇒ (–y, x)

The coordinates of point L after rotation 90° = (1,5)

translated using (x,y) ⇒ (x-8, y+5)

The coordinates of the final image of point L = (-7,10)

The correct choice is option  a. (-7,10)