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?

a 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

Done

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?

a 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

Done

Cupcake123456 · Answer

We can imagine any triangle ABC, and go through the transformations to see what we end up with. We can then do the same thing, but reverse the order of the transformations. If we get something different, then we will have our answer!