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Intersecting Reflections II

Points and define line 1. is an angle measurement, which can be controlled by the scrollbar. Line 2 is defined to be the line passing through at angle with line 1. is an arbitrary point in the plane (try moving it around). is the reflection of with respect to line 1. is the reflection of with respect to line 2. For a given point , try moving around point , how does this affect the transformation?