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Ch 28: TExES Physics/Math 7-12: Geometric Figures

About This Chapter

Before you take the TExES Physics/Mathematics 7-12 exam, be sure to review what you know about identifying, measuring and constructing different geometric figures, including lines, angles and polygons.

TExES Physics/Math 7-12: Geometric Figures - Chapter Summary

Watch this series of lesson videos to reinforce your knowledge about different geometric figures. In these videos, expert instructors will demonstrate how to work with different forms of lines and angles as well as how to construct polygons. After you complete this chapter, you should be ready to answer questions on the Texas Examination of Educator Standards (TExES) Physics/Mathematics 7-12 about:

  • Points, lines, line segments, rays and angles
  • Using tools to make geometric constructions
  • Lines and angles in geometric construction
  • Line segment bisection and the midpoint theorem
  • Dividing line segments into equal parts
  • Parallel, perpendicular and transverse lines
  • Angle bisectors
  • Constructing polygons, squares and equilateral triangles

All of the lessons are presented by talented professionals whose aim is to enliven the learning process. Go through the lessons in any order that you choose, and submit your questions if necessary. You can also get information about related courses by clicking on the appropriate tabs.

TExES Physics/Math 7-12: Geometric Figures Objectives

The TExES Physics/Mathematics is a computer-based teacher certification exam administered in the state of Texas to measure a future educator's mastery of the content areas. This chapter's material corresponds to some of the questions in the exam's Geometry and Measurement content domain, which is equal to 10% of the score. In all, there are 120 multiple-choice questions on the exam. These lesson videos, worksheets and quizzes have been put together to help you prepare for the questions about geometric figures that you may find on the assessment.

12 Lessons in Chapter 28: TExES Physics/Math 7-12: Geometric Figures
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.

Parallel, Perpendicular and Transverse Lines

8. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

Constructing Perpendicular Lines in Geometry

9. Constructing Perpendicular Lines in Geometry

In this video lesson, you will see how to use geometric construction to draw perpendicular lines. Learn why geometric construction is useful. Also find out the only two tools in addition to your pencil that you need to do this.

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

10. 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

11. 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

12. 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 TExES Physics/Mathematics 7-12 (243): Practice & Study Guide course

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