# Ch 40: WEST Middle Grades Math: Properties of Lines

### About This Chapter

## WEST Middle Grades Math: Properties of Lines - Chapter Summary

Geometry will be a big part of your WEST Middle Grades Math exam; use the fun videos in this chapter to study the line, line segment, angle and ray concepts you'll likely see on the test. Lesson topics include:

- Measurement of line segments and rays
- Using tools to make geometric constructions
- Construction with lines and angles
- How to divide line segments equally
- Angle classifications and construction
- Construction of basic geometric shapes

Make sure to take the quiz after each lesson to assure your understanding of the concepts. If you need additional review, consult the video transcripts; they indicate key methods, ideas and terms.

### 1. Line Segments & Rays: Definition & Measurement

A line segment is a line with a starting point and endpoint, while a ray is a line with only one endpoint. Learn the definition of line segments and rays, how the distance of line segments is used in measurements, and discover how to add line segments together.

### 2. Points, Lines & Angles in Geometry

Geometry is a sector of mathematics that analyzes shapes, lines, and surfaces. Explore the definitions and examples of the basics of geometry: points, lines, and angles.

### 3. Methods & Tools for Making Geometric Constructions

Geometric construction offers the ability to create accurate drawings and models without the use of numbers. Discover the methods and tools that will aid in solving math problems as well as create arcs, lines, and circles.

### 4. Practice Making Geometric Constructions with Tools

Constructing geometric shapes can be made easier and more accurate by using special tools. Learn how rulers, straight edges, protractors, compasses, and string can help improve drawing in geometry.

### 5. Geometric Constructions Using Lines and Angles

It is possible to construct different geometric shapes and patterns using lines and angles. Explore the definition of geometric construction, the tools required for the job, and how to copy angles and line segments.

### 6. Line Segment Bisection & Midpoint Theorem: Geometric Construction

A line segment is a line with a beginning and an end. In this lesson, the reader will explore the midpoint theorem, that helps you calculate the midpoint of the line segment, how to use geometric construction where you don't know the location of the points of the line segment, and how to bisect a line segment.

### 7. Dividing Line Segments into Equal Parts: Geometric Construction

A divided line segment is a straight line that has been divided into equal parts. Learn about the geometric construction of divided line segments and how to use a straightedge and compass to divide line segments into equal parts.

### 8. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

Understanding angles and angle relationships allows for easier calculation of angle measurement. Learn how to define various types of angles, including vertical, corresponding, alternate interior angles, and how to calculate degree measurement using angle relationships.

### 9. Complementary, Supplementary, Vertical & Adjacent Angles

Angles are categorized into four types: complementary, supplementary, vertical, and adjacent. Explore the definition and characteristics of complementary, supplementary, vertical, and adjacent angles, and learn how to differentiate between them to problem-solve.

### 10. Constructing an Angle Bisector in Geometry

In geometry, an angle bisector is a line that splits an angle exactly in half. Learn the method of geometric construction, including the process for constructing an angle bisector.

### 11. Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles

A figure inscribed in a circle means that the vertices of the figure are points the lie on the circle. Learn about constructing figures in circles and the steps for drawing equilateral triangles, squares, and regular hexagons inscribed by a circle.

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### Other Chapters

Other chapters within the WEST Middle Grades Mathematics (203): Practice & Study Guide course

- WEST Middle Grades Math: Basic Arithmetic Operations
- WEST Middle Grades Math: Solving Math Word Problems
- WEST Middle Grades Math: Properties of Numbers
- WEST Middle Grades Math: Estimating & Rounding
- WEST Middle Grades Math: Number Theory
- WEST Middle Grades Math: Roots & Radical Expressions
- WEST Middle Grades Math: Exponents & Exponential Expressions
- WEST Middle Grades Math: Scientific Notation
- WEST Middle Grades Math: Simplifying Whole Number Expressions
- WEST Middle Grades Math: Integers
- WEST Middle Grades Math: Rational Numbers
- WEST Middle Grades Math: Introduction to Fractions
- WEST Middle Grades Math: Operations with Fractions
- WEST Middle Grades Math: Introduction to Decimals
- WEST Middle Grades Math: Operations with Decimals
- WEST Middle Grades Math: Percents
- WEST Middle Grades Math: Money & Consumer Math
- WEST Middle Grades Math: Number Patterns & Sequences
- WEST Middle Grades Math: Properties of Functions
- WEST Middle Grades Math: Graphing Functions
- WEST Middle Grades Math: Negative Numbers
- WEST Middle Grades Math: Absolute Value
- WEST Middle Grades Math: Inequalities
- WEST Middle Grades Math: Factoring
- WEST Middle Grades Math: Monomials & Polynomials
- WEST Middle Grades Math: Writing Algebraic Expressions
- WEST Middle Grades Math: Basic Algebraic Expressions
- WEST Middle Grades Math: Algebraic Distribution
- WEST Middle Grades Math: Writing & Solving One-Step Equations
- WEST Middle Grades Math: Writing & Solving Two-Step Equations
- WEST Middle Grades Math: Simplifying & Solving Rational Expressions
- WEST Middle Grades Math: The Coordinate Graph
- WEST Middle Grades Math: Linear Equations
- WEST Middle Grades Math: Systems of Linear Equations
- WEST Middle Grades Math: Rates, Ratios & Proportions
- WEST Middle Grades Math: Measurements
- WEST Middle Grades Math: Perimeter & Area
- WEST Middle Grades Math: Polyhedrons & Geometric Solids
- WEST Middle Grades Math: Symmetry, Similarity & Congruence
- WEST Middle Grades Math: Angles
- WEST Middle Grades Math: Triangles
- WEST Middle Grades Math: Triangle Theorems & Proofs
- WEST Middle Grades Math: Similar Polygons
- WEST Middle Grades Math: The Pythagorean Theorem
- WEST Middle Grades Math: Quadrilaterals
- WEST Middle Grades Math: Circles
- WEST Middle Grades Math: Circular Arcs & Measurement
- WEST Middle Grades Math: Transformations
- WEST Middle Grades Math: Data & Graphs
- WEST Middle Grades Math: Statistics
- WEST Middle Grades Math: Data Collection
- WEST Middle Grades Math: Samples & Populations
- WEST Middle Grades Math: Probability
- WEST Middle Grades Math: Sets
- WEST Middle Grades Mathematics Flashcards