About This Chapter
How It Works:
- Identify the lessons in the Saxon Polygons chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the polygon 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:
- Definition and properties of triangles, squares, trapezoids, rhombuses and rectangles
- Equilateral, equiangular and congruent polygons
- Proof theorems for parallelograms
- Shape and area of pentagons
- Area and angles of hexagons
- Translating, rotating and reflecting polygons
- Symmetry, vertices and number of diagonals in polygons
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1. What Are Polygons? - Definition and Examples
Polygons are flat shapes with at least three sides. Learn the definition of a polygon, discover the differences between a regular and irregular polygon, and then explore examples of concave, convex, simple, and complex polygons.
2. Equilateral & Equiangular Polygons: Definition & Examples
Equilateral polygons have sides of the same length while equiangular polygons have interior angles that are the same. Learn more about the definitions of equilateral and equiangular polygons and how to identify common examples.
3. Triangles: Definition and Properties
Triangles are shapes with three sides and three angles that lie on a two dimensional plane. Study the definition and properties of triangles including sides and angles, base and height, and opposite and adjacent sides.
4. What is a Quadrilateral? - Definition, Properties, Types & Examples
A quadrilateral is a closed figure with four straight sides. Learn the properties which make a shape a quadrilateral, how to locate its sides and vertices, and the difference between a concave and convex quadrilateral.
5. Squares: Definition and Properties
A square is a shape with four equal sides and four 90-degree angles. Explore the definition and properties of a square, how to calculate its perimeter and area, and examples of squares in the real world.
6. Trapezoids: Definition and Properties
A trapezoid is a four-sided shape with exactly one pair of parallel sides. Learn about the definition and properties of trapezoids, explore relevant terms related to trapezoids, and discover different kinds of special trapezoids.
7. Parallelograms: Definition, Properties, and Proof Theorems
A parallelogram is a flat shape with four sides, with opposite sides that are equal and parallel. Study the definition of a parallelogram, the properties of the shape including sides and angles, and how to use proof theorems to identify this shape.
8. What Is a Rhombus? - Definition and Properties
Rhombus is a special type of parallelogram with four equal sides and two parallel opposite sides. Learn about the definition of a rhombus, understand why it is considered a quadrilateral and a parallelogram, and discover the properties of its angles.
9. Rectangles: Definition, Properties & Construction
Rectangles are unique from other shapes. In this lesson, discover how to define a rectangle, explore the properties of rectangles, and learn how to draw one.
10. What is a Pentagon? - Shape, Area & Definition
A pentagon, named after the Greek word for 'five,' has exactly five sides and angles. Learn the different types of pentagon shapes and how to calculate the area of a pentagon using the formula provided in two example problems.
11. What is a Hexagon? - Definition, Area & Angles
A hexagon is a shape with six sides, six angles, and six vertices. Understand the definition of a hexagon, explore regular and irregular hexagons, and learn how to find the area of a hexagon.
12. Congruent Polygons: Definition & Examples
In this lesson, you'll review what polygons are, and you'll discover the conditions that polygons must meet in order to be congruent. Then, you can test your knowledge with a brief quiz.
13. How to Translate, Rotate & Reflect Polygons
In this lesson, we will study transformations of figures and show how this concept could be used to decode a message. Using examples, we will learn about translations, rotations and reflections of polygons.
14. Polygons: Symmetry & Vertices
Polygons are two-dimensional shapes with at least three straight lines and no curves. Learn the components of polygons by exploring the vertices where sides meet and the concept of lines of symmetry in polygons.
15. How to Find the Number of Diagonals in a Polygon
A polygon has straight sides, is flat in shape, and contains diagonals. Explore the definition of a diagonal and a polygon, and learn how to use a simple formula to find the number of diagonals in a polygon.
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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: Angles
- 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