Minimum Path Problems

1. Given a line AB with points P and Q in the same half plane determined by line AB.


Constuct a path of segments PX and XQ with X on AB such that PX + XQ is on minimal length.


GSP file?    Click HERE.



2. Given lines AB and BC perpendicular with points P and Q in the same quandrant determined by lines AB and BC.







Let X be a point on AB and Y be a point on BC. Construct the path of minimal length from segments PX, XY, and YQ.



The desired result is shown at the right.




GSP file?    Click HERE.