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A. Trisecting any angle

B. Doubling a cube

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14y ago

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What constructions were never accomplished by the Greeks with only a straightedge and a compass?

doubling a cube and trisecting any angle


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.


What did the Greeks use in geometric constructions?

A straightedge and compass.


What tools did Greeks use in geometric construction?

A straightedge and compass.


Were The ancient Greeks required a straightedge and protractor to construct a perpendicular bisector for a given line segment?

false apex The Greeks used a straightedge and a compass


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

True


The Greeks had no way of bisecting an angle because it is required a ruler in addition to a compass and straightedge?

False


What tools allowed the Greeks to exploit the five basic postulates of Euclidean geometry?

compass and straightedge


Which of the following are the tools which allowed the Greeks to exploit the five basic postulates of Euclidian geometry?

Straightedge Compass


Using a straightedge and compass the ancient Greeks were able to construct many geometric objects?

True


The Greeks were able to construct a cube with double the volume of another cube using only a straightedge and compass?

false


The ancient Greeks were not able to construct a perpendicular bisector for a given line segment using only a straightedge and compass.?

Not true.