2016 AMC 10A Problems/Problem 16
Contents
[hide]Problem
A triangle with vertices , , and is reflected about the -axis, then the image is rotated counterclockwise about the origin by to produce . Which of the following transformations will return to ?
counterclockwise rotation about the origin by .
clockwise rotation about the origin by .
reflection about the -axis
reflection about the line
reflection about the -axis.
Solution
Consider a point . Reflecting it about the -axis will map it to , and rotating it counterclockwise about the origin by will map it to . The operation that undoes this is a reflection about the , so the answer is .
Video Solution (CREATIVE THINKING)
~Education, the Study of Everything
Video Solution
https://www.youtube.com/watch?v=VHXDQz5BG8U
Video Solution 2
~IceMatrix
See Also
2016 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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All AMC 10 Problems and Solutions |
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