1988 AMC 12 Problem 6
Attempt Problem 6 of the 1988 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 1988 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
A figure is an equiangular parallelogram if and only if it is a
rectangle
regular polygon
rhombus
square
trapezoid
Answer: A
Small hint:
The four equal interior angles must add to
Big hint:
No condition here forces adjacent sides to have equal lengths
Solution:
Four equal angles summing to are all right angles. A parallelogram with four right angles is exactly a rectangle.
Thus the correct answer is A.
Problem 6 in other years
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