Difference between revisions of "2005 AMC 8 Problems/Problem 3"
m (minor edit) |
m (minor edit) |
||
Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal <math> \overline{BD}</math> of square <math> ABCD</math>? | What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal <math> \overline{BD}</math> of square <math> ABCD</math>? | ||
+ | |||
<asy> | <asy> | ||
defaultpen(linewidth(1)); | defaultpen(linewidth(1)); |
Latest revision as of 12:33, 19 October 2020
Problem
What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal of square ?
Solution
Rotating square counterclockwise so that the line of symmetry is a vertical line makes it easier to see that squares need to be colored to match its corresponding square.
See Also
2005 AMC 8 (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 AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.