Circle Inversions with Reflections

Exercises

4. Distrances between reflected points

Draw a line L down the middle of the paper, parallel to the long side.

On this line L near the middle of the paper draw three points A, B, and C, with AB = BC.

Place the short side of the plastic perpendicular to L, near the point C.

Bend the plastic along its long direction, away from the points A, B, and C. Click the right picture to magnify.

Note the relation between the order of A, B, and C and that of A', B', and C'.

Compare the distances A'B' and B'C' to AB and BC. Does A'B' = B'C'?

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