# 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.

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## 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.

## Why does constructing a perpendicular bisector work?

**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**

- 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.
- Call the two points where these two arcs meet C and D. Draw the line between C and D.
- CD is the perpendicular bisector of the line segment AB. …
- 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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