Difference between revisions of "2000 AMC 12 Problems/Problem 10"
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Step 3: Translate <math>5</math> units in positive-<math>y</math> direction. Replace <math>y</math> with <math>y+5</math>. <math>(1,3,3) \Rightarrow \text {(E) }</math> | Step 3: Translate <math>5</math> units in positive-<math>y</math> direction. Replace <math>y</math> with <math>y+5</math>. <math>(1,3,3) \Rightarrow \text {(E) }</math> | ||
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| + | ==Video Solution by Power Solve== | ||
| + | |||
| + | https://www.youtube.com/watch?v=G4c2oCtupTg | ||
==See Also== | ==See Also== | ||
Latest revision as of 17:41, 25 August 2025
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 
. 
Video Solution by Power Solve
https://www.youtube.com/watch?v=G4c2oCtupTg
See Also
| 2000 AMC 12 (Problems • Answer Key • Resources) | |
| Preceded by Problem 9 |
Followed by Problem 11 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
