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To construct a perpendicular bisector, tools such as a protractor or a compass are not necessarily needed. Instead, a straightedge or ruler is typically sufficient for drawing the line segment, while a compass can be used to find the midpoint and create arcs. Other tools like a calculator or software are also unnecessary, as the construction can be performed with basic geometric methods.

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1mo ago

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Which tools are necessary to construct a angle bisector?

A compass and a straightedge


What are the reasons used in the proof that the angle-bisector construction can be used to bisect any angle?

The angle-bisector construction is proven effective by demonstrating that the two angles formed by the bisector are congruent. This is achieved using the properties of isosceles triangles, where the lengths of the sides opposite the equal angles are shown to be proportional to the lengths of the adjacent sides of the original angle. Additionally, the use of geometric tools like a compass and straightedge allows for the accurate replication of distances and angles, ensuring that the bisector divides the angle into two equal parts. Thus, the congruence of the resulting angles confirms that the construction reliably bisects any angle.


What tools are needed to make congruent line segments?

to lines that r the same length


What did Plato believe were the only tools that should be used in geometry?

Plato believed that the only tools needed for geometric calculations was a compass and a ruler. The type of compass being the type with a pencil attached to a pointing device.


When constructing parallel and perpendicular lines how are the steps similar?

When constructing parallel and perpendicular lines, both processes involve identifying a reference line and using geometric principles to create the new line in relation to it. In both cases, tools like a straightedge and compass are commonly used to ensure accuracy. For parallel lines, you maintain equal distance from the reference line, while for perpendicular lines, you create a right angle with the reference line. Thus, both constructions rely on precise measurements and the application of geometric rules.