Question: Using straightedge and compass, construct the vertices of a pen- tagon given the centres of its consecutive sides. Hint: Let be the isometry obtained

Using straightedge and compass, construct the vertices of a pen- tagon given

Using straightedge and compass, construct the vertices of a pen- tagon given the centres of its consecutive sides. Hint: Let be the isometry obtained by composing the 180 rotations around these five centres. What type of isometry is? What is its fixed-point set? Can you construct the fixed-point using an arbitrary point C and its image (C)?

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