Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2016 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 9

Revision as of 04:34, 12 January 2019 by Timneh (talk | contribs) (Created page with "== Problem == Suppose every point in the plane is colored by one of two given colors, say red or blue. Given a triangle <math>\triangle</math>, show that there is a triangle...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Suppose every point in the plane is colored by one of two given colors, say red or blue. Given a triangle $\triangle$, show that there is a triangle in the colored plane whose vertices are of the same color and is similar to the given triangle $\triangle$.

Solution

See also

2016 UNM-PNM Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 8 		Followed by
Problem 10
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNM-PNM Problems and Solutions

[[Category:]]

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2016_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_9&oldid=100307"