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Ch 40: ORELA Middle Grades Math: Properties of Lines

About This Chapter

Refresh your knowledge of the properties of lines and geometric constructions with the lessons in this chapter. Watch engaging videos and use the self-assessment quizzes to prepare for the ORELA Middle Grades Math exam.

ORELA Middle Grades Math: Properties of Lines - Chapter Summary

This lesson is designed to prepare you for questions on the properties of lines, angles and geometric constructions that may appear on the ORELA Middle Grades Math teacher certification exam. Some particular topics in this lesson include the following:

  • Line segments and rays
  • Observational and field research
  • Reflecting shapes
  • 2-dimension shapes
  • Lines of symmetry
  • Graphing translations, reflections and rotations
  • Rotating shapes
  • Distance formulas

You can use the text transcripts and video lessons to review these concepts and check your understanding prior to test day. You can use the embedded video tags to go back to any parts in the video lesson that may need more review.

ORELA Middle Grades Math: Properties of Lines Objectives

The ORELA Middle Grades Math test is made up of 150 multiple-choice questions that assess your familiarity in a variety of math content areas. The topics covered within this chapter on lines can be found within the measurement and geometry section, which makes up 25% of the test. This chapter prepares you to answer questions on the properties of points, lines, angles and planes, and the multiple-choice quizzes can help you visualize how some of the test questions may appear.

11 Lessons in Chapter 40: ORELA 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.

Methods & Tools for Making Geometric Constructions

3. Methods & Tools for Making Geometric Constructions

Did you know that it's possible to do math without using numbers? This is exactly what Euclid did when he showed how to solve mathematical problems by drawing them out instead of with numbers.

Practice Making Geometric Constructions with Tools

4. Practice Making Geometric Constructions with Tools

There are a number of tools available to geometry students to help make their work a bit easier. In this lesson, we will review how to use many of them in order for you to get the most out of every geometry class.

Geometric Constructions Using Lines and Angles

5. 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

6. 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

7. 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

8. 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.

Complementary, Supplementary, Vertical & Adjacent Angles

9. Complementary, Supplementary, Vertical & Adjacent Angles

After watching this video lesson, you will know how to locate complementary, supplementary, vertical, and adjacent angles. You will understand how easy it is to visually see them. You will also know what to look for.

Constructing an Angle Bisector in Geometry

10. 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

11. 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 ORELA Middle Grades Mathematics: Practice & Study Guide course

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