Go Geometry Education

 Pool or Pocket Billiards and Geometry. Reflection Symmetry - Video


Video Description
Pool Table Reflections. Source: Jsteggs
In this construction we are looking at a billiards table and would like to have Ball C carom off of Wall X then Wall Y and hit Ball B. The steps to completing the construction are listed below:

  • Sketch an approximate path the ball will take.

  • Reflect B over Line (Wall) Y, label the new point B'.

  • Reflect B' over Line (Wall) X, label the new point B''.

  • Draw a projection line from Point (Ball) C to point B''. (Darken the actual path of the ball)

  • Draw a projection line from the intersection of Line (Wall) X and the projection line from Step 4 to B'. (Darken the actual path of the ball)

  • Connect the intersection of Line (Wall) Y and the projection line from Step 5 to Point (Ball) B.

Pool
Pool, also known as pocket billiards, is the family of cue sports and games played on a pool table having six receptacles called pockets along the rails, into which balls are deposited as the main goal of play.

Reflection symmetry
Reflection symmetry, mirror symmetry, mirror-image symmetry, or bilateral symmetry is symmetry with respect to reflection.  In 1D, there is a point of symmetry. In 2D there is an axis of symmetry, in 3D a plane of symmetry.
 

Pool, Billiards and Geometry

 

Home | Search | Geometry | Real WorldCircles | Rectangle | Angles | Billiards | Email | Post a comment