Difference between revisions of "2019 AMC 12B Problems/Problem 3"
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==Problem== | ==Problem== | ||
| − | + | Which of the following rigid transformations (isometries) maps the line segment <math>\overline{AB}</math> onto the line segment <math>\overline{A'B'}</math> so that the image of <math>A(-2, 1)</math> is <math>A'(2, -1)</math> and the image of <math>B(-1, 4)</math> is <math>B'(1, -4)</math>? | |
| − | + | (A) reflection in the <math>y</math>-axis | |
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| + | (B) counterclockwise rotation around the origin by <math>90^\circ</math> | ||
| − | + | (C) translation by <math>3</math> units to the right and <math>5</math> units down | |
| − | + | (D) reflection in the <math>x</math>-axis | |
| + | (E) clockwise rotation around the origin by <math>180^\circ</math> | ||
| − | + | ==Solution== | |
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==See Also== | ==See Also== | ||
{{AMC12 box|year=2019|ab=B|num-b=2|num-a=4}} | {{AMC12 box|year=2019|ab=B|num-b=2|num-a=4}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 14:28, 14 February 2019
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 
?
(A) reflection in the 
-axis
(B) counterclockwise rotation around the origin by 
(C) translation by 
units to the right and 
units down
(D) reflection in the 
-axis
(E) clockwise rotation around the origin by 
Solution
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. 
