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transformations Reflection problem 5
A line and two circles are given. Construct a square with opposite vertices on the line and one of the remaining vertices on each of the circles
Please enable Java for an interactive construction (with Cinderella).

Study the above construction. The given line is AB and the two given circles have centres at C and E. The red circle is a reflection in line AB of the blue circle. See if you can make this construction yourself:

Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella).
Please enable Java for an interactive construction (with Cinderella).