Use a compass and straightedge to find the image of AB under the glide reflection composed of the translation from P to Q following by a reflection with respect to line 1.


Answers may vary.
Construct A'B' so that AA'B'B is a parallelogram with the side AA' the same length as PQ.
This accomplishes the translation.Then construct the perpendicular through line 1 from A' and from B' and mark A" and B" on these perpendiculars so the distance from line 1 to A' and from line 1 to A are the same. That is, line 1 forms the perpendicular bisector of and of A'A" and of B'B"

Mathematics

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