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.Trisecting any angleC.Tripling a squareD.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.Bisecting any angleB.Trisecting any angleC.Tripling a squareD.Doubling a cube
Solution
The constructions that were never accomplished by the Greeks with only a straightedge and compass are:
B. Trisecting any angle D. Doubling a cube
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.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
The ancient Greeks could bisect an angle using only a compass and straightedge.
What tools did the Greeks not use in geometric constructions?Check all that apply.A.CompassB.EraserC.ProtractorD.Straightedge
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.