About This Chapter
How It Works:
- Identify the lessons in the Saxon Angles chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the angles topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Identifying the vertex of an angle
- Types of angles
- Complementary, supplementary and adjacent angles
- Reflex and remote interior angles
- Finding the measure of an inscribed angle
- Constructing an angle bisector
- Measuring the angles of a polygon and finding its sum
- Using angles with vectors
- Defining negative angles on the coordinate plane
- Measuring an arc
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1. How to Identify the Vertex of an Angle
Are you confused as to what a vertex is? Don't fret. This lesson explains in really simple terms with several different examples how you can easily spot the vertex of an angle.
2. Types of Angles: Right, Straight, Acute & Obtuse
There are four types of angles that can be recognized through their number of degrees measured. Learn about these four types of angles, such as right angle, straight angle, acute angle, and obtuse angle.
3. Complementary Angles: Definition, Theorem & Examples
Complementary angles are two angles whose measures added together equals 90 degrees. Learn about the definition and examples of complementary angles and explore theorems involving complementary angles.
4. Supplementary Angle: Definition & Theorem
Supplementary angles are two angles in which the sum of their measures is equal to 180 degrees. Learn about the definition and properties of supplementary angles, and explore the theorems and applications involving supplementary angles.
5. What Are Adjacent Angles? - Definition & Examples
In geometry, adjacent angles are two angles that share a common side and vertex. Learn the definition of adjacent angles and work through examples to gain a greater understanding.
6. 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.
7. Reflex Angle: Definition & Examples
A reflex angle is any angle measured between 180º and 360º added to an acute or obtuse angle to complete a full 360º circle. See example problems and solutions demonstrating the use of reflex angles, as well as how to measure them.
8. Remote Interior Angles: Definition & Examples
Remote interior angles of a triangle do not share a vertex with an exterior angle. Discover how to use the sum of the remote interior angles to find the measure of the exterior angle.
9. How to Find the Measure of an Inscribed Angle
An inscribed angle occurs when two lines, or chords, share an endpoint. Explore this idea in depth, unpacking how to use central angles and arc lengths to determine the measure of the inscribed angles.
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. How to Measure the Angles of a Polygon & Find the Sum
A regular polygon is a flat shape with equal sides and equal angles. Learn to identify and measure angles of a polygon including finding the sums of its interior angles, one interior angle, and exterior angles.
12. Using Angles With Vectors
Vectors are entities that have a magnitude and a direction associated with them. In this lesson, we will investigate how to use this information to determine rectangular coordinates and polar coordinates of vectors.
13. Defining Negative Angles on the Coordinate Plane
This lesson will explain how to define negative angles on the coordinate plane and how to draw negative angles on the coordinate plane. Examples and practice problems will be provided.
14. Measure of an Arc: Process & Practice
The measure of an arc can be solved by determining the degree of the angle that intercepts an arc. Learn about the process of measuring an arc, major vs. minor arcs, and real-world practice arc problems.
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Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course
- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs