Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?Check all that apply.A.Bisecting any angleB.Doubling a cubeC.Trisecting any angleD.Tripling a squareSUBMITarrow_backPREVIOUS
Question
Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?Check all that apply.A.Bisecting any angleB.Doubling a cubeC.Trisecting any angleD.Tripling a squareSUBMITarrow_backPREVIOUS
Solution
The constructions that were never accomplished by the Greeks with only a straightedge and compass are:
B. Doubling a cube C. Trisecting any angle
These two tasks are known as the famous problems of ancient Greek mathematics. They were proven to be impossible to solve using only a straightedge and compass in the 19th century.
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.Trisecting any angleB.Trisecting any line segmentC.Tripling the squareD.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
Which of these constructions is impossible using only a compass and straightedge?A.Trisecting a right angleB.Doubling the squareC.Bisecting any angleD.Doubling the cube
What tools did the Greeks not use in geometric constructions?Check all that apply.A.CompassB.EraserC.ProtractorD.Straightedge
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