Ch 22: NYSTCE Mathematics: Parallel Lines & Symmetry

About This Chapter

Use this chapter to help you prepare for NYSTCE Mathematics test questions on parallel lines and symmetry. Some of the resources that are available to you include video lessons and self-assessment quizzes.

NYSTCE Mathematics: Parallel Lines & Symmetry- Chapter Summary

When you study this chapter, you can explore different concepts and information related to parallel lines and symmetry. You will find a list of topics that you'll need to know to pass the NYSTCE Mathematics exam, such as:

  • Parallel lines
  • Proving parallel lines
  • The construction of a parallel line
  • Parallel postulate
  • Parallel sides
  • Symmetric property

Our instructors will break down these complicated lessons through illustrated lessons that are easy for you to understand. Take the quizzes after each lesson to test yourself and gauge how much you know. When you complete all of the lessons, take the chapter test before you move onto another topic. This will ensure that you have studied and retained all of the necessary information to help you pass this portion of the NYSTCE Mathematics exam.

7 Lessons in Chapter 22: NYSTCE Mathematics: Parallel Lines & Symmetry
Test your knowledge with a 30-question chapter practice test
Parallel Lines: How to Prove Lines Are Parallel

1. 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.

Using Converse Statements to Prove Lines Are Parallel

2. 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.

Constructing a Parallel Line Using a Point Not on the Given Line

3. 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.

The Parallel Postulate: Definition & Examples

4. 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.

Parallel Sides: Definition & Concept

5. Parallel Sides: Definition & Concept

In this lesson, you will learn the special properties of parallel sides. Only certain shapes have the distinguished honor of having parallel sides. Learn what these are and discover how to mathematically mark two sides that are parallel.

Symmetric Property in Geometry: Definition & Examples

6. Symmetric Property in Geometry: Definition & Examples

The symmetric property shows up often in the world around us, so it is useful to be familiar with this property. This lesson will allow us to become comfortable with, see examples of, and work with this neat property.

Symmetric Property: Definition & Examples

7. Symmetric Property: Definition & Examples

In this lesson, you will learn the definition of the symmetric property of equality and why this property is so important in mathematics. You will also be given examples to illustrate.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the NYSTCE Mathematics (004): Practice & Study Guide course

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