1977 AMC 12 Problem 2
Attempt Problem 2 of the 1977 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1977 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
Which one of the following statements is false? All equilateral triangles are
equiangular
isosceles
regular polygons
congruent to each other
similar to each other
Answer: D
Small hint:
Separate properties determined by angles from properties determined by size
Big hint:
Compare two equilateral triangles having different side lengths
Solution:
Every equilateral triangle is equiangular, isosceles, regular, and similar to every other equilateral triangle. Two equilateral triangles with different side lengths are not congruent, however.
Therefore, the correct answer is D.
Problem 2 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
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