A **bisector** is something that cuts an object into two equal parts. It is applied to angles and line segments. In verb form, we say that it bisects the other object.

Simply so, What is the perpendicular bisector of a line segment?

The **perpendicular bisector of a line segment** is the **line** which is **perpendicular** to a given **line segment** and which divides it into two equal **line segments**. How to construct the **perpendicular bisector of a line segment** (by using just a straightedge and compass, without a triangle)?

How many Bisectors can a line segment have? For every **line segment**, there is one perpendicular **bisector** that passes through the midpoint. There are infinitely **many bisectors**, but only one perpendicular **bisector** for any **segment**.

**20 Related Questions Answers Found**

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**Are Bisectors always perpendicular?**

When it is exactly at right angles to PQ it is calledthe **perpendicular bisector**. In general, ‘to bisect’something means to cut it into two equal parts. With a**perpendicular bisector**, the **bisector always** crossesthe line segment at right angles (90°).

**How do you find a perpendicular line?**

First, put the equation of the **line** given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. **Perpendicular 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.

**How do you bisect a line segment?**

**Line Segment Bisector, Right Angle**

- Place the compass at one end of line segment.
- Adjust the compass to slightly longer than half the linesegment length.
- Draw arcs above and below the line.
- Keeping the same compass width, draw arcs from other end ofline.
- Place ruler where the arcs cross, and draw the linesegment.

**How do you find the midpoint of a line segment?**

To find the **midpoint** of a line **segment**,you just calculate the averages of the coordinates — easy aspie. If you want to know the **midpoint** of the **segment**with endpoints (–4,–1) and (2,5), then plug the numbersinto the **midpoint** formula, and you get a **midpoint** of(–1,2):

**What is a perpendicular line?**

In elementary geometry, the property of being **perpendicular** (perpendicularity) is the relationship between two **lines** which meet at a right angle (90 degrees). The property extends to other related geometric objects. A **line** is said to be **perpendicular** to another **line** if the two **lines** intersect at a right angle.

**How do you construct a perpendicular line segment?**

**Steps**

- Draw one of the lines and mark two points on it.
- Set a compass to at least half the distance between the twopoints.
- Use the compass to draw a circle centered around each point.The circles should intersect in two points on opposite sides of theline.
- Draw a line through the two points of intersection.

**Can a segment bisect a line Yes or no?**

A **line segment** has two endpoints; that is, it has a starting point and an ending point, much like a dead-end street. **Bisector** means to divide, not just in two, but in halves, or two equal parts. Therefore, a **segment bisector** is a point, a **line**, a ray, or a **line segment** that **bisects** another **line segment**.

**What is the midpoint of a segment?**

**What is a perpendicular line?**

In elementary geometry, the property of being**perpendicular** (perpendicularity) is the relationship betweentwo **lines** which meet at a right angle (90 degrees). A**line** is said to be **perpendicular** to another**line** if the two **lines** intersect at a rightangle.

**What is the midpoint formula?**

The **midpoint formula** is applied when one isrequired to find the exact center point between two defined points.So for a line segment, use this **formula** to calculate thepoint that bisects a line segment defined by the twopoints.

**How do you construct a perpendicular 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 difference between a perpendicular line and a perpendicular bisector?**

**Perpendicular** means a **line** making an angle90° either with its horizontal or vertical. And a**perpendicular bisector** is that **line** which lies**between** these **lines** and making an angle of 45°with both the **lines**. **What is the difference between** a**bisector** and a **perpendicular bisector**?

**What is right bisector of a line segment?**

A **perpendicular bisector of a line segment** is a **line segment perpendicular** to and passing through the midpoint of (left figure). The **perpendicular bisector of a line segment** can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

**What does it mean if a line bisects an angle?**

In general ‘to **bisect**‘ something **means** tocut it into two equal parts. The ‘bisector’ is the thing doing thecutting. In an **angle** bisector, it is a **line** passingthrough the vertex of the **angle** that cuts it into two equalsmaller **angles**.

**What is a congruent segment?**

The most often considered types of **bisectors** arethe segment **bisector** (a line that passes through the**midpoint** of a given segment) and the angle **bisector**(a line that passes through the apex of an angle, that divides itinto two equal angles).

**What is a congruent segment?**

The **perpendicular bisector** is a line that dividesa line segment into two equal parts. It also makes a right anglewith the line segment. Each point on the **perpendicular bisectoris the** same distance from each of the endpoints of the originalline segment.

**What is a segment in geometry?**

In **geometry**, a line **segment** is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. Examples of line **segments** include the sides of a triangle or square.

**How do you prove a line segment bisects an angle?**

The **Angle**-Bisector theorem states that if a ray**bisects an angle** of a triangle, then it divides the oppositeside into **segments** that are proportional to the other twosides. The following figure illustrates this. The**Angle**-Bisector theorem involves a proportion — likewith similar triangles.

**What is the difference between a perpendicular bisector and an angle bisector?**

Any point on the **perpendicular bisector** isequidistant from the endpoints of the given segment. The point atwhich the **perpendicular bisectors** of a triangle meet, or thecircumcenter, is equidistant from the vertices of the triangle. Onthe other hand, **angle bisectors** simply split one**angle** into two congruent **angles**.

**Whats is a ray?**

One way to think of a **ray** is a line with one end. A **ray** starts at a given point and goes off in a certain direction forever, to infinity. The point where the **ray** starts is called (confusingly) the endpoint. On its way to infinity it may pass through one or more other points.

**Can an angle have more than one bisector?**

An **angle bisector** divides an **angle** into two congruent **angles**. A **perpendicular bisector** splits a segment into two congruent segments and is **perpendicular** to that segment.

**What is a ray in geometry?**

In **geometry**, a **ray** is a line with a single endpoint (or point of origin) that extends infinitely in one direction. An example of a **ray** is a sun **ray** in space; the sun is the endpoint, and the **ray** of light continues on indefinitely.

**How many midpoints does a line segment have?**

**How many midpoints does a line segment have?**

**Congruent segments** are simply line **segments** that are equal in length. **Congruent** means equal. **Congruent** line **segments** are usually indicated by drawing the same amount of little tic lines in the middle of the **segments**, perpendicular to the **segments**. The important part is that they are equal, or **congruent**.

**What’s the difference between bisector and perpendicular?**

A segment **bisector** intersects a segment at its midpoint. (It bisects the segment.) A **perpendicular** segment **bisector** does the same but at a 90° angle. Both intersect at the midpoint, but the **perpendicular bisector** forms a 90° angle.

**Can an angle bisector be a line segment?**

Each point of an **angle bisector** is equidistant from the sides of the **angle**. The interior or internal **bisector** of an **angle** is the **line**, half-**line**, or **line segment** that divides an **angle** of less than 180° into two equal **angles**.

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

A **perpendicular bisector of a line segment** is a**line segment perpendicular** to and passing through themidpoint of (left figure). The **perpendicular bisector of a linesegment** can be constructed using a compass by drawing circlescentered at and with radius and connecting their twointersections.

**How do you copy a line segment?**

Start with a **line segment** PQ that we will**copy**. Mark a point R that will be one endpoint of the new**line segment**. Set the compasses’ point on the point P of the**line segment** to be **copied**. Adjust the compasses’width to the point Q. The compasses’ width is now equal to thelength of the **line segment** PQ.

**What is the difference between a perpendicular bisector and an angle bisector?**

Each point of an **angle bisector** is equidistant from the sides of the **angle**. The interior or internal **bisector** of an **angle** is the **line**, half-**line**, or **line segment** that divides an **angle** of less than 180° into two equal **angles**.

**What is the sign of perpendicular bisector?**

Symbol | Symbol Name | Meaning / definition |
---|---|---|

⊥ | perpendicular | perpendicular lines (90° angle) |

∥ | parallel | parallel lines |

≅ | congruent to | equivalence of geometric shapes and size |

~ | similarity | same shapes, not same size |

**What is the midpoint of the line segment with endpoints?**

An **angle bisector** divides an **angle** into two congruent **angles**. A **perpendicular bisector** splits a segment into two congruent segments and is **perpendicular** to that segment.