Ch 40: AEPA Middle Grades Math: Properties of Lines

About This Chapter

Use this chapter to review the properties of lines to prepare for the National Evaluation Series (NES) Middle Grades Mathematics exam (previously the AEPA) for teacher certification in Arizona. Track your study progress with the self-assessment quizzes found at the end of each lesson.

AEPA Middle Grades Math: Properties of Lines - Chapter Summary

The lessons in this chapter help you review the properties of lines, including theorems and geometric construction. As you study for the NES Middle Grades Mathematics exam, use the lessons in this chapter to review:

  • Line segments and rays
  • Points, lines and angles
  • Drawing and calculating using geometric construction
  • Identifying and measuring angles
  • Constructing geometric shapes inscribed in circles

Our video lessons taught by experienced instructors are a great way to prepare for this NES exam. You can access individual topics quickly using the embedded video tags and review terminology easily in the lesson transcript. Ask our subject experts any questions you may have as you study and track your progress using the self-assessment quizzes throughout the chapter.

8 Lessons in Chapter 40: AEPA Middle Grades Math: Properties of Lines
Test your knowledge with a 30-question chapter practice test
Line Segments & Rays: Definition & Measurement

1. Line Segments & Rays: Definition & Measurement

Watch this video lesson to learn the difference between a line segment and a ray. You will also learn how to measure and add line segments. Learn why you can't measure or add a ray.

Points, Lines & Angles in Geometry

2. Points, Lines & Angles in Geometry

After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.

Geometric Constructions Using Lines and Angles

3. Geometric Constructions Using Lines and Angles

Watch this video lesson to learn about geometric construction and how you can copy line segments and angles without using any numbers. All you need is a straight edge and a compass.

Line Segment Bisection & Midpoint Theorem: Geometric Construction

4. Line Segment Bisection & Midpoint Theorem: Geometric Construction

Watch this video lesson and you will learn how to bisect a line segment without measurements using just a compass and a straight edge. You'll also learn about the midpoint theorem, which lets you calculate the midpoint if you have the measurements.

Dividing Line Segments into Equal Parts: Geometric Construction

5. Dividing Line Segments into Equal Parts: Geometric Construction

Watch this video lesson to learn one way to easily divide any line segment into as many equal parts as you need. Also, learn where in real life this skill comes in handy.

Types of Angles: Vertical, Corresponding, Alternate Interior & Others

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

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

Constructing an Angle Bisector in Geometry

7. Constructing an Angle Bisector in Geometry

Watch this video lesson to learn a cool way to split an angle in half. You can use this method to split a pie slice in half where you can be sure each side is equal.

Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles

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

Constructing an accurate triangle, square, or hexagon within a circle is a matter of a few simple steps, and can be extremely practical. In this lesson, we'll practice the construction of those three shapes.

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 AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

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