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(mc 02.03)
what set of reflections and rotations would carry rectangle abcd onto itself?
(4 points)
1) rotate 180°, reflect over the x-axis, reflect over the line yox
2) reflect over the x-axis, rotate 180°, reflect over the x-axis
3) rotate 180°, reflect over the y-axis, reflect over the line y=x
4) reflect over the y-axis, reflect over the x-axis, rotate 180°

i think it would be number 3.

Hope this helps.

Step-by-step explanation:

4) Reflect over the y-axis, reflect over the x-axis, rotate 180°

Step-by-step explanation:

Since, the rule of 180° rotation,

Rule of reflection over x-axis,

Rule of reflection over y-axis,

Rule of reflection over line y = x,

∵ In the set of reflection,

Rotate 180°, reflect over the x-axis, reflect over the line y=x,

Reflect over the x-axis, rotate 180°, reflect over the x-axis,

Rotate 180°, reflect over the y-axis, reflect over the line y=x,

Reflect over the y-axis, reflect over the x-axis, rotate 180°,

Hence, the set of reflections and rotations that would carry rectangle ABCD onto itself is,

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Option '4' is correct.

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed