# how is constructing a perpendicular bisector similar

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## How is constructing an angle bisector similar to constructing a perpendicular bisector?

A. Both constructions begin with a given angle.
B. Both constitutions allow you to find the midpoint of a segment.
C. Both constructions require that you draw a ray.
D. Both constructions requires that you find the point where two arcs intersect.

## When constructing a perpendicular bisector you must?

A perpendicular bisector is a line that meets a given line segment at a right angle and cuts the given line segment into two equal halves. Constructing such a line requires that we draw an equilateral triangle on the given line segment and then bisect the third vertex.

## When constructing the perpendicular bisector of the segment how wide must you open your compass?

Place the compasses on one end of the line segment. Set the compasses’ width to a approximately two thirds the line length. The actual width does not matter. Without changing the compasses’ width, draw an arc above and below the line.

## How do you position the compass when creating a perpendicular bisector?

Place the compass on the point where one arc crosses an arm and draw an arc inside the angle. Without changing the compass width, repeat for the other arm so that the two arcs cross. Use a ruler to join the vertex to the point where the arcs intersect (D). DB is the bisector of ^ABC.

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## Why does constructing a perpendicular bisector work?

This construction works by effectively building congruent triangles that result in right angles being formed at the midpoint of the line segment. The proof is surprisingly long for such a simple construction.

## How is constructing a perpendicular bisector similar to constructing?

Constructing an angle bisector creates a line that bisects an angle, whereas constructing a perpendicular bisector creates a line that bisects a line segment. … A line can then be drawn through the two points where the arcs intersect to create a perpendicular bisector.

## When constructing a perpendicular bisector What is the first step?

The first step is to swing an arc from the point and intersect the line in two places, which creates a segment that can be bisected.

## What are the steps in constructing perpendicular bisector?

The perpendicular bisector of a line segment
1. open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
2. Call the two points where these two arcs meet C and D. Draw the line between C and D.
3. CD is the perpendicular bisector of the line segment AB. …
4. Proof.

## When constructing a bisector from a point on the line what is the last step?

Obviously, the final step is drawing the bisector. That is what you do when you Mark the intersection points of the arcs, and draw a line through those two points.

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