Which task is impossible with only a ruler and no circle given?
AJoining two points
BExtending a segment
CMarking a midpoint
DDrawing a line
Answer & Solution
Correct answer: C. Marking a midpoint
1. A ruler can join points and extend lines.
2. Without a circle it cannot mark the midpoint of a segment or take a square root.
3. A single circle with its centre makes these possible (Poncelet-Steiner).
_Source: Wikipedia, Straightedge and compass construction, section Constructing with only ruler or only compass_
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