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
Question
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
Solution
The construction that is impossible using only a compass and straightedge is A. Trisecting any angle. This has been proven mathematically and is known as the angle trisection problem. The other constructions, trisecting any line segment, tripling the square, and doubling the square, are all possible with just a compass and straightedge.
Similar Questions
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
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
Trisecting a line segment requires a ruler and compass, since a straightedge and compass will not be sufficient.A.TrueB.False
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Two angles that can be trisected with a straightedge and compass are _____ and _____ angles.
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