# Billiards brain-teaser

Geometry Level 2

Consider the standard $5 \text{ cm}\times 5\text{ cm}$ mouse billiards table shown. The pockets are located at points $A, B, C,$ and $D$.

A player has a very poor aim so he hits the ball from point D (his starting point) towards point E. The player hits it hard enough that it eventually lands in one of the pockets (corners). How many times does the ball bounce off the edges of the table before this occurs?

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