Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?Check all that apply.A.Tripling a squareB.Bisecting any angleC.Trisecting any angleD.Doubling a cube
Question
Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?Check all that apply.A.Tripling a squareB.Bisecting any angleC.Trisecting any angleD.Doubling a cube
Solution
The constructions that were never accomplished by the Greeks with only a straightedge and compass are:
A. Tripling a square C. Trisecting any angle D. Doubling a cube
These tasks are known as the three classical problems of antiquity, and despite many attempts, the ancient Greeks were unable to solve them using only a straightedge and compass.
Similar Questions
Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?
Which of these constructions is impossible using only a compass and straightedge?A.Bisecting any angleB.Doubling the cubeC.Trisecting a right angleD.Doubling the square
Given only a compass and straightedge, Greeks were able to construct only regular polygons and circles, thus leaving many constructions impossible to complete.A.TrueB.False
What tools did the Greeks not use in geometric constructions?Check all that apply.A.CompassB.EraserC.ProtractorD.Straightedge
The ancient Greeks could bisect an angle using only a compass and straightedge.
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