Skip to main content

2001 AMC 10 Problem 5

Problem 5 of 25EasierProblem-Solving Techniques

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

Answer choices

Show solution

Solution

Checking each pentomino for a reflection line, exactly six have at least one: the straight bar, the plus, the TT-shape, the UU-shape, the VV-shape, and the WW-shape. The remaining six have no line of symmetry. Thus, the correct answer is D.
AoPS wiki

Tagged: symmetry · systematic listing

More practice