Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. His friend Josiah is trying to prove that a
reflection across the x-axis followed by a reflection across the y-axis will result in a reflection across the line y = x for a
pre-image in quadrant II. Which student is correct, and which statements below will help him prove his conjecture?
Check all that apply.
VX
Max is correct.
O Josiah is correct.
Taking the result from the first reflection (X, -y) and applying the second mapping rule will result in (-X, -y), not (y,
x), which reflecting across the line y = x should give.
If one reflects a figure first across the x-axis from quadrant II then reflects across the y-axis from quadrant III, the
image will end up in quadrant IV.
A figure that is reflected from quadrant II to quadrant IV across the line y = x will have the coordinates of (-y, x).