Reflection
In this applet you will explore reflections across a line. The object shown is a concave polygon. Move the slider to see the image of the object reflected across the line.
1. Move the point on the line to see what happens to the image. Can you get the image to coincide with the original object? If so, how? If not, why not?
2. Can you get a vertex of the image to coincide with the corresponding vertex on the object? If so, how? If not, why not?
3. Click on "Show vertices". Click on the "line" tool at the top and choose "segment". Connect one pair of corresponding vertices. What relationship do you see between the line segment and the line of reflection?
4. Do the same for the other points on the object-image pair. What relationship do you notice? Click on the arrow tool and move the line of reflection to see if the relationship is maintained.