Question

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

Answer 1

Do you know the reflection and rotation shortcuts?

Answer 2

http://www.regentsprep.org/regents/math/geometry/gt5/RuleSheet.pdf

Answer 3

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.

Answer 4

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

Answer 5

Okay, thank you. I understand it now.