Mathematics
Grade 4
15 min
Lines, line segments, and rays
Lines, line segments, and rays
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Define a point, line, line segment, and ray.
Identify lines, line segments, and rays within a given diagram.
Differentiate between a line, line segment, and ray based on their properties (endpoints and direction).
Draw and label a line, line segment, and ray.
Use correct geometric notation to name lines, line segments, and rays.
Identify examples of lines, line segments, and rays in real-world objects.
Have you ever looked at a map and traced a road with your finger? 🗺️ Let's learn the special math names for the paths we see all around us!
In this lesson, we will explore the basic building blocks of all shapes: points, lines, line segments, and rays. Understanding these simple figures will help you describe the world and build more complex shapes la...
2
Key Concepts & Vocabulary
TermDefinitionExample
PointA single, exact location in space. It has no size or dimension and is usually shown as a dot.The corner of a square or the tip of a pencil. We name it with a capital letter, like Point A.
LineA straight path of points that continues forever in both directions. It has no endpoints.A line passing through points C and D. It is drawn with arrows on both ends to show it never stops.
Line SegmentA part of a line that has two specific endpoints. It has a definite length and does not go on forever.The path between Point X and Point Y. It has a dot at each end to show where it starts and stops.
RayA part of a line that has one endpoint and continues forever in one direction.A path starting at Point M and going on forever through Point N. It has a dot at one end and an ar...
3
Core Formulas
Naming a Line
\overleftrightarrow{AB}
To name a line, pick any two points on the line (like A and B) and draw a small line with two arrows above the letters. The order of the letters does not matter: $\overleftrightarrow{AB}$ is the same as $\overleftrightarrow{BA}$.
Naming a Line Segment
\overline{CD}
To name a line segment, use its two endpoints (like C and D) and draw a small line segment (no arrows) above the letters. The order of the letters does not matter: $\overline{CD}$ is the same as $\overline{DC}$.
Naming a Ray
\overrightarrow{EF}
To name a ray, you MUST start with the endpoint (like E), then use another point on the ray (like F). Draw a small ray with one arrow above the letters, pointing away from the endpoint. The order matters: $\overrightarrow{EF}$ i...
4 more steps in this tutorial
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Sign Up Free to ContinueSample Practice Questions
Challenging
If you draw ray $\overrightarrow{AB}$ and then also draw ray $\overrightarrow{BA}$, what single geometric figure have you created?
A.line segment
B.line
C.Two separate rays
D.circle
Challenging
Look at the capital letter 'A'. If you assume all parts are straight, how many line segments are used to draw it?
A.1
B.2
C.3
D.4
Easy
Which of the following best defines a point in geometry?
A.An exact location in space, usually shown as a dot.
B.part of a line with two endpoints.
C.straight path that continues forever in one direction.
D.straight path that continues forever in both directions.
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