¶ 2019 AMC8 Problem 6
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Problem:
There are grid points (uniformly spaced) in the square shown in the diagram below, including the points on the edges. Point is in the center of the square. Given that point is randomly chosen among the other points, what is the probability that the line is a line of symmetry for the square?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The square has lines of symmetry, each containing and more grid points. The probability that is chosen so that line is a line of symmetry is therefore .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions