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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 ______ 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 ____, and then swing the other end of the device so the reflection of line ab coincides with ____
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options: point c, point b, point a
- For paper folding: Folding so line AB aligns over itself ensures the fold is the perpendicular bisector-like line, and point C must lie on this fold to have the perpendicular pass through C.
- For reflective device: To construct a perpendicular to AB through C, first align one end of the reflective device with point C. Then swing the device until the reflection of AB coincides with itself, which confirms the device is along the perpendicular line.
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- 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 line AB itself