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Parallel Reflections I

Given are Three points in the plane (, and ) and a direction vector. All three points can be moved, and the direction vector can be changed by dragging the point on the direction circle. Use the scroll bar to unfold the problem Line 1, is defined by and the direction vector, line 2 is defined by and the direction vector. Now reflect point with respect to line 1, and then reflect the result with respect to line 2. Try this for different points . Can you describe the new transformation? How does moving each of the points and or the direction vector affect the result?