alleryWhich theorem shows a collapsing compass is as powerful as a normal one?
AAngle bisector theorem
BCompass equivalence theorem
CPythagorean theorem
DGauss circle theorem
Answer & Solution
Correct answer: B. Compass equivalence theorem
1. A collapsing compass cannot directly copy a distance.
2. The compass equivalence theorem, Proposition 2 of Euclid's Book 1, shows no power is lost.
3. So the ideal compass is not required to collapse.
_Source: Wikipedia, Straightedge and compass construction, section Straightedge and compass tools_
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