2001 AMC 10 Problem 5

Below is the professionally curated solution for Problem 5 of the 2001 AMC 10, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2001 AMC 10 solutions, or check the answer key.

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Concepts:symmetrysystematic listing

Difficulty rating: 1120

5.

How many of the twelve pentominoes pictured below have at least one line of symmetry?

33

44

55

66

77

Solution:

Checking each pentomino for a reflection line, exactly six have at least one: the straight bar, the plus, the T-shape, the U-shape, the V-shape, and the W-shape. The remaining six have no line of symmetry.

Thus, the correct answer is D.

Problem 5 in Other Years