4. Perimeter and Area in the Coordinate Plane
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See solution.
We have a line segment from X to Y.
We now take the compass and set it at the length of XY.
We now move the compass over to the ray. We place the pointed end at A and draw a line across the ray and by that marking a point on the ray.
We call the point we marked on the ray B. We mark it properly with a dot and do our best to erase the part of the ray we have which overshoots point B.
The segment AB has the same length as the segment XY.