Difference between revisions of "2019 AMC 12B Problems/Problem 3"
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| + | ==Video Solution 1== | ||
| + | https://youtu.be/b-htQISQ7Oo | ||
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| + | ~Education, the Study of Everything | ||
==See Also== | ==See Also== | ||
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Revision as of 12:35, 31 October 2022
Contents
Problem
Which of the following rigid transformations (isometries) maps the line segment 
onto the line segment 
so that the image of 
is 
and the image of 
is 
?
reflection in the 
-axis
counterclockwise rotation around the origin by 
translation by 3 units to the right and 5 units down
reflection in the 
-axis
clockwise rotation about the origin by 
Solution
We can simply graph the points, or use coordinate geometry, to realize that both 
and 
are, respectively, obtained by rotating 
and 
by about the origin. Hence the rotation by about the origin maps the line segment to the line segment , so the answer is 
.
~Dodgers66
Video Solution 1
~Education, the Study of Everything
See Also
| 2019 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 2 |
Followed by Problem 4 |
| 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 | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
