2000 AMC 12 Problems/Problem 10
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 ?
Solution
Step 1: Reflect in the -plane. Replace with its additive inverse:
Step 2: Rotate around -axis 180 degrees. Replace and with their respective additive inverses.
Step 3: Translate units in positive- direction. Replace with .
See Also
2000 AMC 12 (Problems • Answer Key • Resources) | |
Preceded by Problem 9 |
Followed by Problem 11 |
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