We have that the constructions which would construct a line of reflection that takes point A to point B is Option D
Construct a line parallel to line AB
A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB
From the Options
We have that
-Construct the perpendicular bisector of segment AB.
A perpendicular bisector will NOT Create a line of reflection that takes point A to point B but rather it will divide the line AB in two equal parts
-Construct a line through B perpendicular to segment AB.
A line through B perpendicular to segment AB will NOT Create a line of reflection that takes point A to point B
-Construct the line passing through A and B.
A line passing through A and B will NOT Create a line of reflection that takes point A to point B but rather will create Line A and B again and not its reflection
Construct a line parallel to line AB
A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB
In conclusion
The constructions which would construct a line of reflection that takes point A to point B is Option D
Construct a line parallel to line AB
A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB
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