Problem:
The point is reflected in the -plane, then its image is rotated by about the -axis to produce , and finally, is translated by 5 units in the positive- direction to produce . What are the coordinates of ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Reflecting the point in the -plane produces . A half turn about the -axis yields . Finally, the translation gives .
The problems on this page are the property of the MAA's American Mathematics Competitions