The ancient Greeks could bisect an angle using only a compass and straightedge.
Question
The ancient Greeks could bisect an angle using only a compass and straightedge.
Solution
Yes, the ancient Greeks had a method for bisecting an angle using only a compass and straightedge. Here are the steps:
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Draw the angle you want to bisect.
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Using a compass, draw an arc that intersects both rays of the angle.
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Without changing the compass width, draw arcs from each of the two points where the first arc intersects the rays. These two arcs should intersect each other.
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Draw a ray from the vertex of the angle through the point where the two arcs intersect.
This ray bisects the angle, creating two equal angles.
Similar Questions
The ancient Greeks were able to construct a perpendicular bisector for a given line segment using only a straightedge and compass.
Using a straightedge and compass, the ancient Greeks were able to construct many geometric objects.
What tools did the Greeks not use in geometric constructions?Check all that apply.A.CompassB.EraserC.ProtractorD.Straightedge
Given only a compass and straightedge, Greeks believed that many constructions were impossible to complete.
The ancient Greeks required a straightedge and protractor to construct a perpendicular bisector for a given line segment.A.TrueB.False
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