# How do you find the perpendicular bisector of a line segment?

## How do you find the perpendicular bisector of a line segment?

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.

### What is the perpendicular bisector of a line segment?

Hear this out loudPausePerpendicular bisector is a line that divides a given line segment exactly into two halves forming 90 degrees at the intersection point. Perpendicular bisector passes through the midpoint of a line segment. It can be constructed using a ruler and a compass.

**How do you find the perpendicular bisector of a graph?**

Hear this out loudPauseA straightforward way of finding a perpendicular bisector is to measure a line segment that you need to bisect. Then divide the measured length by two in order to find its midpoint. Draw a line out from this midpoint at a 90 degrees angle.

**What is the equation for segment bisector?**

Hear this out loudPauseA segment bisector is a line (or part of a line) that passes through the midpoint. When two segments are congruent, we indicate that they are congruent with segment markings. The midpoint formula says that for endpoints (x_1, y_1) and (x_2, y_2), the midpoint is \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right).

## How do you construct a perpendicular line?

How to Construct a Perpendicular Line through a Point on the Given Line?

- Open the compass to a radius less than half the segment.
- Draw two arcs intersecting the line on both sides of the point.
- Draw two arcs using the intersection points as the centers.
- Construct a line between this point and the original point.

### How many perpendicular bisectors can a line segment have?

one perpendicular bisector

Hear this out loudPauseOnly one perpendicular bisector can be drawn to a given line segment.

**Is every perpendicular line a bisector justify?**

Two lines are said to be perpendicular to each other when they intersect in such a way that they form 90 degrees with each other. And, a bisector divides a line into two equal halves….What is Perpendicular Bisector Theorem?

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**What is the equation of a perpendicular line?**

Hear this out loudPausePerpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

## What is the segment bisector examples?

Hear this out loudPauseA segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts. Points, lines, segments, and rays are all types of segment bisectors. If either a ray or a line serves as a segment bisector, it will be infinite.

### What is a bisector of a line?

Hear this out loudPauseIn Geometry, “Bisector” is a line that divides the line into two different or equal parts.