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Question
3
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compare the steps for constructing a perpendicular line to line ab through point c using a reflective device and using paper.
when using paper to construct the perpendicular line, the paper is folded so that point c lies on the fold and the two sides of line ab will lie exactly on top of each other.
when using a reflective device to construct a line perpendicular to line ab, set one end of the device to coincide with point c, and then swing the other end of the device so the reflection of line ab coincides with
segment bc
the other side of line ab
point c
reset
For the reflective device method: When constructing a perpendicular to line AB through point C, we align one end of the reflective device with point C. We then adjust the device until the reflection of line AB coincides with segment BC. This works because the reflective property ensures the line from the device to the reflection creates a perpendicular angle with AB.
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segment BC