Line Segment

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 end points. It is a straight path that has a definite beginning and end. A line segment can be measured in terms of its length.

Properties of Line Segments

1. Length: The length of a line segment is the distance between its two end points.

2. End Points: Line segments are defined by their two end points, which are the two distinct points that mark the boundaries of the segment.

3. Straightness: A line segment is always straight and does not curve or bend.

4. Infinite Extension: While a line segment has a definite length, the line on which it lies extends infinitely in both directions.

Notation

Line segments are often denoted by naming their two end points. For example, if the end points of a line segment are A and B, the line segment can be denoted as AB or BA.

Example

Consider a line segment with end points A and B. The length of the line segment AB can be denoted as |AB| or |BA|, and it represents the distance between points A and B.

Study Guide

When studying line segments, it's important to understand the concept of length, end points, and straightness. Practice identifying and measuring line segments using a ruler or by using coordinates on a graph. Pay attention to the notation used to represent line segments and understand how to calculate their lengths using the distance formula.

It can also be helpful to explore real-world examples of line segments, such as the sides of a polygon or the edges of a book. Understanding the properties and characteristics of line segments will provide a solid foundation for further studies in geometry and measurement.

◂Math Worksheets and Study Guides Fourth Grade. Probability

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Data Analysis and Probability (NCTM)

Understand and apply basic concepts of probability.

Describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible.

Understand that the measure of the likelihood of an event can be represented by a number from 0 to 1.

Connections to the Grade 4 Focal Points (NCTM)

Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. Students develop understandings of strategies for multi-digit division by using models that represent division as the inverse of multiplication, as partitioning, or as successive subtraction. By working with decimals, students extend their ability to recognize equivalent fractions. Students' earlier work in grade 3 with models of fractions and multiplication and division facts supports their understanding of techniques for generating equivalent fractions and simplifying fractions.

Line Segment

Properties of Line Segments

Notation

Example

Study Guide

[Line Segment] Related Worksheets and Study Guides:

◂Math Worksheets and Study Guides Fourth Grade. Probability

The resources above cover the following skills: