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Andres Perkins

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3y ago

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Could the ancient Greeks bisect an angle using a compass and a straightedge?

Yes, because the ancient Greeks used many of the same rules that we still use today regarding angles and circles.


Did the Greeks have no way of bisecting an angle because it is required a ruler in addition to a compass and straightedge?

The ancient Greeks were indeed limited in their geometric constructions to using only a compass and straightedge. While they developed methods for various constructions, angle bisection using just these tools is impossible for certain angles, such as a 60-degree angle, which leads to a 30-degree angle. This limitation is part of a broader set of problems in classical geometry that were proven to be impossible to solve with the restrictions they adhered to. Thus, the Greeks could not bisect all angles solely with a compass and straightedge.


Is it possible to bisect any given angle using only a straightedge and a compass?

no


Is it possible to bisect a segment with a perpindicular segment using a compass and straightedge?

Yes


It is possible to bisect any given angle using only a straightedge and a compass?

Yes


The ancient Greeks could bisect an angle using only a straightedge?

falseee


Could the ancient Greeks bisect an angle using a straight edge?

no they could not


How do you bisect an angle with a compass?

you put the green in the pipe


What does it mean to bisect an angle?

To bisect an angle means to divide it into two equal parts. This is typically done using a geometric tool like a compass and straightedge, resulting in two angles that each measure half of the original angle. Angle bisectors are important in various fields, including geometry and construction, as they help in creating precise angles and shapes.


How can you prove that a line segment has only one mid point?

Measure it or bisect it with a compass


What does construct the bisector mean?

It means to bisect an angle with a compass and a straight edge or rule.


Is it possible to bisect the angles in a rectangle?

Any angle can be bisected using a compass and a straight edge.