Geometry · Foundation · 11 min
Reflections
A reflection puts each point equally far on the other side of a mirror line.
WHAT HAPPENS IF…What does reflection across y=x do to coordinates?
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Project v onto the unit direction u of the mirror. Its parallel component stays unchanged while its perpendicular component reverses. Thus the image is 2projᵤ(v)−v. Lengths are preserved but orientation reverses.
A detail that matters
A reflection reverses orientation; a rotation preserves it.
Keep the connection going
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