# Ch 6: Parallel Lines and Polygons: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school geometry work.
- Identify the parallel lines and polygons concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school geometry tutoring solution will benefit any student who is trying to learn about parallel lines and polygons and earn better grades. This resource can help students including those who:

- Struggle with understanding how to proves lines are parallel, methods for measuring polygons, identification of regular polygons and their parts, or any other parallel lines and polygons topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their parallel lines and polygons unit
- Cope with ADD or ADHD
- Want to get ahead in high school geometry
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning about parallel lines and polygons simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live algebra tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about parallel lines and polygons on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives

- Study angles that are formed by parallel lines.
- Discover techniques for proving and constructing parallel lines.
- Make converse and parallel line statements.
- Learn about the concave and convex categories of polygons.
- Define and illustrate indefinite proof and regular polygons.
- Calculate the perimeter and discover the number of diagonals in polygons.
- Measure a regular polygon's area as well as the angles of triangles.
- Find the sum of a polygon by measuring its angles.

### 1. Angles Formed by a Transversal

When you have a pair of parallel lines and a transversal, something very interesting happens to the angles that are formed. You can see this happen in real life at street intersections and such. Watch this video lesson to learn about all of this.

### 2. Parallel Lines: How to Prove Lines Are Parallel

Watch this video lesson to learn how you can prove that two lines are parallel just by matching up pairs of angles. Learn which angles to pair up and what to look for.

### 3. Using Converse Statements to Prove Lines Are Parallel

Because a pair of parallel lines produces unique angle characteristics, we can use this information to our advantage. Watch this video lesson to see how we turn this advantage into converse statements to help us prove parallel lines.

### 4. Constructing a Parallel Line Using a Point Not on the Given Line

Watch this video lesson, and you will learn how to draw parallel lines with just a compass and a straightedge. Also, learn why you would want to be able to do this in real life.

### 5. The Parallel Postulate: Definition & Examples

In this lesson, you will learn about an important postulate in Euclidean geometry, called the Parallel Postulate. It sounds kind of hard, but this lesson explains it in simple terms and provides several examples of it as well.

### 6. What Are Polygons? - Definition and Examples

Watch this video lesson to see how the shapes that you grew up with are all related. Learn why the shapes of bricks, stars, and street blocks are considered polygons while the sun, moon, and rolling hills are not.

### 7. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

### 8. How to Find the Number of Diagonals in a Polygon

At first, you might think that the diagonals of a polygon are pretty useless, but watch this video lesson to learn how diagonals are used in real life. You will learn the formula to find how many diagonals a polygon has as well as how to use it.

### 9. Finding the Perimeter of Polygons

In this video lesson, you will learn the process you need to take to find the perimeter of polygons. You will also learn that there is a shortcut if your polygon is a regular polygon.

### 10. Measuring the Area of Regular Polygons: Formula & Examples

Watch this video lesson to learn why a regular polygon makes your life easier when it comes to finding the area inside one. Learn the one formula for area that will work for any type of regular polygon.

### 11. Measuring the Angles of Triangles: 180 Degrees

Watch this video lesson to see why a triangle's angles always add up to 180 degrees. Also, learn how you can use this unique fact about triangles to find an unknown angle in a triangle.

### 12. How to Measure the Angles of a Polygon & Find the Sum

Watch this video lesson to learn the one formula that lets you find the measure of angles in any regular polygon. Also, learn how you can tell if you are working with a regular polygon or not.

### 13. The Sum of Interior Angles of a Pentagon

Do you know how many sides a pentagon has? You'll learn this and why the interior angles of all types of pentagon always add up to the same value. You'll also learn a formula you can use for any shape you come across.

### 14. How to Find the Perimeter of a Hexagon

This lesson explains how to find the perimeter of a regular and an irregular hexagon. Once we know the process, we'll look at some examples of this shape in nature and an application of finding a hexagon's perimeter in our own lives.

### 15. How to Find the Perimeter of a Trapezoid

Trapezoids are a special type of geometrical figure. In this lesson, learn the steps to find the perimeter of a trapezoid through examples. You will also learn the different definition of trapezoid in the U.K.

### 16. How to Find the Perimeter of an Isosceles Trapezoid

An isosceles trapezoid is a special case of a trapezoid. This lesson reviews the steps to find the perimeter of an isosceles trapezoid through the use of problems and practical applications.

### 17. Identifying Lines in Space

In this lesson we will define the vector, parametric, continuous (or symmetric) and implicit equations of the line in space, and we will solve a problem.

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### Other Chapters

Other chapters within the High School Geometry: Tutoring Solution course

- Foundations of Geometry: Tutoring Solution
- Logic in Mathematics: Tutoring Solution
- Introduction to Geometric Figures: Tutoring Solution
- Properties of Triangles: Tutoring Solution
- Triangles, Theorems and Proofs: Tutoring Solution
- Similar Polygons: Tutoring Solution
- Quadrilaterals: Tutoring Solution
- Symmetry, Similarity and Congruence
- Circular Arcs and Circles: Tutoring Solution
- Conic Sections: Tutoring Solution
- Geometric Solids: Tutoring Solution
- Analytical Geometry: Tutoring Solution
- Introduction to Trigonometry: Tutoring Solution