Ray

A ray is a part of a line that has one endpoint and extends infinitely in one direction. It can be thought of as starting at a point and going on forever in one direction.

Parts of a Ray

There are two main parts of a ray:

Endpoint: The starting point of the ray.
Direction: The direction in which the ray extends infinitely.

Notation

Rays are named by their endpoint and any other point on the ray. The notation for a ray is typically written with an arrow over the two letters representing the endpoint and another point on the ray. For example, if the endpoint of the ray is A and a point on the ray is B, the ray can be denoted as AB with an arrow over the AB.

Examples

Here are some examples of ray notation:

Ray AB size: 20px; color: blue;">→ (Read as "Ray AB extends from point A to point B")
Ray CD size: 20px; color: blue;">→ (Read as "Ray CD extends from point C to point D")

Practice Questions

Now that you've learned about rays, here are some practice questions to test your understanding:

Identify the endpoint and direction of the following rays:
- Ray EF size: 20px; color: blue;">→
- Ray GH size: 20px; color: blue;">→
Write the notation for a ray that extends from point P to point Q.

◂Math Worksheets and Study Guides Sixth Grade. Diameter of Circle

The resources above cover the following skills:

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.

Connections to the Grade 6 Focal Points (NCTM)

Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.