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Question:

Triangle PQR lies in the xy-plane, and the coordinates of vertex Q are (2, –3). Triangle PQR is rotated 180° clockwise about the origin and then reflected across the y-axis to produce triangle P′Q′R′, where vertex Q′ corresponds to vertex Q of triangle PQR. What are the coordinates of Q′?

A (2, 3)
Explaination

When triangle PQR is rotated $6198_w33_h13.png$ clockwise about the origin (0, 0), point Q is translated from (2, −3) to (−2, 3) in the xy-plane. Then, after the triangle is reflected, or flipped, across the y-axis, point Q is translated from (−2, 3) to (2, 3).