# 9.3: Identification of Angles by Vertex and Ray

**At Grade**Created by: CK-12

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**Practice**Identification of Angles by Vertex and Ray

### Let's Think About It

**Credit**: Super Rad

**Source**: https://commons.wikimedia.org/wiki/File:Angle_Symbol.svg

**License**: CC BY-NC 3.0

Donyell walks from his house to his school. Then, after school he walks to his friend's house. He notices that his journey forms an angle. He decides to name the angle. Donyell labels his house as point

In this concept, you will learn about the parts of an angle.

### Guidance

An **angle** is one of the key geometric figures that you will be working with in geometry. An angle is created when two rays connect at a common point.

You can see that the two rays are connected at a common endpoint, called a **vertex**. This forms the angle. An angle is named by points on the rays.

Let's look at an example of an angle.

This is angle

Angle

### Guided Practice

What is the common endpoint of the rays that form

First, determine the name of the common endpoint.

The vertex

Next, identify the location of the vertex in the angle name.

The middle point

Then, write the point.

The answer is

### Examples

#### Example 1

Name this angle. Be sure that the vertex is in the middle.

First, locate the common endpoint.

Then, name the angle.

The answer is** ∠DEF**.

#### Example 2

First, locate the common endpoint.

Then, name the angle.

The answer is

#### Example 3

What is the common endpoint of the rays that form

First, determine the name of the common endpoint.

The vertex

Next, identify the location of the vertex in the angle name.

The middle point

Then, write the point.

The answer is

Follow Up

**Credit**: Super Rad

**Source**: https://commons.wikimedia.org/wiki/File:Angle_Symbol.svg

**License**: CC BY-NC 3.0

Remember Donyell and his walk to school and then to his friend's house? Name the angle if his house is point

First, determine the common endpoint.

Then, name the angle.

The answer is

### Explore More

Draw a picture to illustrate each of the named geometric figures.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

Define the following terms.

13. Ray

14. Line

15. Vertex

16. Line Segment

Angle

A geometric figure formed by two rays that connect at a single point or vertex.Intersecting lines

Intersecting lines are lines that cross or meet at some point.line

A line is a straight one-dimensional figure that extends forever in opposite directions.line segment

A line segment is a part of a line that has two endpoints.Parallel

Two or more lines are parallel when they lie in the same plane and never intersect. These lines will always have the same slope.Point

A point is a location in space that does not have size or shape.Point of Intersection

A point of intersection is the point where two intersecting lines meet.Ray

A ray is a part of a line that has one endpoint and continues indefinitely in one direction.Vertex

A vertex is a point of intersection of the lines or rays that form an angle.### Image Attributions

**[1]****^**Credit: Super Rad; Source: https://commons.wikimedia.org/wiki/File:Angle_Symbol.svg; License: CC BY-NC 3.0**[2]****^**Credit: Super Rad; Source: https://commons.wikimedia.org/wiki/File:Angle_Symbol.svg; License: CC BY-NC 3.0

## Description

## Learning Objectives

In this concept, you will learn about the parts of an angle.

## Difficulty Level:

At Grade## Authors:

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## Date Created:

Oct 29, 2012## Last Modified:

Sep 24, 2015## Vocabulary

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