Question

i literally can't figure out the answer to this, help would be very much appreciated.

(PICTURE INCLUDED BELOW)
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?

A. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
B. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
C. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
D. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis

Answer 1

Answer:

B

Step-by-step explanation:

The figure is in quadrant 1. When you do a 180 degree rotation it will out the image diagonally across into quadrant 3. Next reflect across the y-axis to get it in quadrant 4.

A 180 rotation will always end up diagonally across regardless if it is counterclockwise or clockwise.

Answer 2

Answer:

A. Counterclockwise rotation around the origin by 180 degrees followed by reflection around the x-axis.

Step-by-step explanation:

180° would be turning it counterclockwise 2 times. Thus putting it on the points of figure P'Q'R'S'.

Reflecting it across the x-axis would be putting it in the same position as P'Q'R'S'.

This being said, either way you did it, as long as you did it one of the two ways it would become a copy of PQRS. The answer is A.

Hope this helped you. Let me know if I got it correct!

- Abigail (: