Question

Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?

Answer 1

diagram:



reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin

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

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

across the line y = x rotation 180° clockwise about the origin followed by a

reflection across the line y = -x

Answer 2

thoughts? try to go through the choices one by one and see which one does *not* take you from ABC to A'B'C'. I will demonstrate the first choice:

reflecting across y = -x

Answer 3

followed by a 180 degree rotation clockwise --> (simply multiply all the coordinates by -1)



notice how the final image coincides with A'B'C'
so the first choice *does* make the preimage ABC into image A'B'C, thus eliminating the first choice

repeat this process with the other choices. remember, you are looking for the choice that does *not* lead you to the image A'B'C' as drawn.