2024 AMC 10A Problems/Problem 13
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Problem
Two transformations are said to commute if applying the first followed by the second gives the same result as applying the second followed by the first. Consider these four transformations of the coordinate plane:
• a translation 2 units to the right,
• a 90°- rotation counterclockwise about the origin,
• a reflection across the 𝑥-axis, and
• a dilation centered at the origin with scale factor 2 .
Of the 6 pairs of distinct transformations from this list, how many commute?
Solution 1
Examine
See also
| 2024 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 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 10 Problems and Solutions | ||
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