- #1
pivoxa15
- 2,255
- 1
Homework Statement
Suppose f is an isometry that fixes O (origin). Prove f preserves midpoints of line segments.
The Attempt at a Solution
Geometricallly, f could be a reflection in which case it would not preserve the mid point of any line segment that does not intersect the origin anywhere.
So I don't see a proof at all and infact sees a mistake.