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GEOMETRY AND A GAME OF BILLIARDS |
| Maths Workshop | |
| FOUR CUSHIONS |
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In which direction would you need to send the ball so that it returned to the same point after bouncing off all four cushions? |
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Draw the corresponding transformations of symmetry in order to find the following points: A' = the reflection of A about the bottom cushion A'' = the reflection of A' about the right-hand cushion A''' = the reflection of A'' about the top cushion A'''' = the reflection of A''' about the left-hand cushion R = where the line which passes through A and A'''' intersects the bottom cushion
Sol: R = "x+2y=11" |
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In this example what is the distance travelled by the ball? |
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The distance travelled by the ball is equal to the length of line AA'''' which, given that triangles HAA'''' and DCE are similar, is:
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| Andrés Mateos Royo | ||
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| Spanish Ministry of Education. Year 2001 | ||
Except where otherwise noted, this work is licensed under a Creative Common License
"y=0" = (11,0)