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 him prove his conjecture? check all that apply.
max is correct
josiah is correct.
if one reflects a figure across the x-axis from quadrant ii, the image will end up in quadrant iii.
if one reflects a figure across the y-axis from quadrant iii, the image will end up in quadrant iv.
a figure that is reflected from quadrant il to quadrant iv will be reflected across the line y = x.
if one reflects a figure across the x-axis, the points of the image can be found using the pattern (x, y) = (x,-y).
if one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) → (-x, y).
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.