Track / Stage 4 / 81 of 340 #341 of 2000

What is the maximum number of axes of symmetry that the union of $k$ segments on a plane can have?

Your answer

Check

Show the answer

Official solution

$2 k$. Example: the segments are the major diagonals (diameters) of a regular $2 k$-gon.

## Answer

$2 k$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.