Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? Figure : http://prntscr.com/7t9ncj Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis

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Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? Figure : http://prntscr.com/7t9ncj Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Do you know the reflection and rotation shortcuts?
http://www.regentsprep.org/regents/math/geometry/gt5/RuleSheet.pdf
We can also use common sense. Because a reflection across the x axis is highly unlikely unless it goes 360, which none of the above have, we can eliminate the x axis choices.

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Then 270 degree turn would but it in quadrant 1, so there goes D. All we have left is A. and that is the answer
Okay, thank you. I understand it now.

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