Question

ΔABC will undergo two transformations to give ΔA′B′C′. Which pair of transformations will give a different image of ΔABC if the order of the transformations is reversed

rotation 90° counterclockwise about the origin followed by a reflection across the y-axis




a translation 5 units down followed by a translation 4 units to the right




a reflection across the x-axis followed by a reflection across the y-axis




a rotation 180° clockwise about the origin followed by a reflection across the y-axis

Answer 1

You'll just have to talk your way through it. Pick a point and see where it lands. Maybe just something on the x-axis.

1) Pivk (5,0)
2) Rotate 90º anti-clockwise ==> (0,5)
3) Reflect across y-axis ==> (0,5) Doesn't move.

Okay, now switch the operations in 2 and 3 and see if you land in the same spot.