# when constructing a perpendicular bisector why must the compass

1. Step 1: Draw a perpendicular line between A and XY. …
2. Step 2: Measure the perpendicular distance between the point and the line. …
3. Step 3: Draw a point that is the same distance from the line. …
4. Step 4: Draw the parallel line.

## Which of the following instrument is used in constructing perpendicular bisector of a segment?

Sal constructs a perpendicular bisector to a given line segment using compass and straightedge.

## What is the first step in constructing a perpendicular at a point on a line?

The first step for the construction of perpendicular lines is placing the compass on the given point (point P according to the diagram here). Next, draw an arc across the line on both the sides of the given point. Make sure that you do not adjust the compass width when you draw the second arc.

## When constructing a line parallel to a given line the required process is to?

Using the construction COPY AN ANGLE, construct a copy of the angle formed by the transversal and the given line such that the copy will be located UP at point P. The vertex of the copied angle will be point P. 3. When you draw the line to complete the angle copy, you will be drawing a line parallel to the given line.

## When constructing an angle bisector of an angle The first step is to draw?

To draw an angle bisector, using only a compass and a straight edge, we first need to place the compass on the vertex of the angle. Draw an arc across both legs of the angle. Now, draw a straight line from the vertex to the intersection of the 2 arcs. This is the angle bisector.

## What happens when a line bisector another line?

In general ‘to bisect’ something means to cut it into two equal parts. The ‘bisector’ is the thing doing the cutting. With a line bisector, we are cutting a line segment into two equal lengths with another line – the bisector. … If it crosses at any other angle it is simply called a bisector.

## What are the benefits of using a compass and straightedge?

Compasses are used to draw precise circles and arcs, leading to making many geometric figures. Straightedges are used to make straight lines that are exact measurements. There is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

## Which of the following is the best definition of a perpendicular bisector?

The perpendicular bisector is a line that divides a line segment into two equal parts. It also makes a right angle with the line segment.

## Is the perpendicular bisector always the midpoint?

In general, ‘to bisect’ something means to cut it into two equal parts. The ‘bisector’ is the thing doing the cutting. With a perpendicular bisector, the bisector always crosses the line segment at right angles (90°). … For obvious reasons, the point F is called the midpoint of the line PQ.

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