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doubling the cube

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Which of these constructions is impossible using only a compass and straightedge-?

Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube


Many of the same constructions the Greeks performed only with straightedge and compass can be done using only a straightedge and tracing paper?

True


Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?

Squaring the circle, duplicating the cube, and trisecting an angle were constructions that were never accomplished by the Greeks with only a straightedge and compass. These are known as the three classical geometric problems that cannot be solved using only those tools.


Constructing a cube with double the volume of another cube using only a straightedge and compass was proven possible by advanced algebra.?

No, it is not. In 1837, the French mathematician, Pierre Laurent Wantzel, proved that it was impossible to do so using only compass and straightedge.


Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra?

false


One can find an angle bisector using a compass and straightedge construction or a straightedge and tracing paper construction?

true


One can find an angle bisector using a compass and a straightedge construction or a straightedge and tracing paper construction?

True -


Is it possible to trisect any angle using a compass and straightedge?

True


Is it possible to construct a cube of twice the volume of given cube using only a straightedge and compass?

No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.


Is it possible to construct a cube of twice the volume of the given cube using only a straightedge and compass?

No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.


It is possible to trisect any angle using only a compass and a straightedge true or false?

False. It is impossible to trisect any angle using only a compass and straightedge, as proven by Pierre Wantzel in 1837. While some angles can be trisected using these tools, the general case for all angles cannot be achieved through classical construction methods.


Can the midpoint of a line be found using either a compass and straightedge construction or a straightedge and tracing paper construction?

True APEX :)