They are points that are halfway along two of the sides of a square, the sides being opposite one another.
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Diagonals between two opposite corners, and a vertical line between midpoints of 2 opposite sides, and a horizontal line between midpoints of the other pair of sides.
The two diagonals, and the two lines joining the midpoints of opposite sides.
There are four:the two diagonals, andthe two lines joining the midpoints of opposite sides.
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Half an octagon has five sides is it is divided in two by a line joining opposite vertices. It has six sides in the dividing line joins the midpoints of opposite sides.