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Ch 24: TExES Math 4-8: Properties of Geometric Shapes

About This Chapter

In this chapter, our instructors optimize your knowledge of geometric shape properties. The chapter resources, including video lessons and self-assessment quizzes, are designed to help you refresh the crucial skills tested on the TExES certification exam for Math levels 4-8.

TExES Math 4-8: Properties of Geometric Shapes - Chapter Summary

These lessons cover the essential properties of geometric shapes as part of your preparation for the TExES Math 4-8 exam. Use the videos and text transcripts to help you study the axiomatic system; Euclid's axiomatic geometry; and points, angles and lines in geometry. You'll also look at different types of angles and perpendicular, transverse and parallel lines. Once you finish this chapter, you should be prepared to do the following:

  • Identify the properties of rectangles, rhombuses and squares
  • Define the properties of triangles
  • Find the perimeter and area of triangles and rectangles
  • Use the Pythagorean Theorem
  • Differentiate between area and circumference in circles
  • Describe tessellations using symmetry
  • Apply scale factors to area, perimeter and volume of similar figures

Our instructors guide you through each topic with animated and entertaining video lessons to prepare you for the test. Jump to tagged video sections to review specific concepts you need to master for the exam, and check out the video transcripts for offline study.

13 Lessons in Chapter 24: TExES Math 4-8: Properties of Geometric Shapes
Test your knowledge with a 30-question chapter practice test
The Axiomatic System: Definition & Properties

1. The Axiomatic System: Definition & Properties

Learn what kinds of things are included in an axiomatic system in this video lesson. Also learn why consistency, independence, and completeness are important in axiomatic systems.

Euclid's Axiomatic Geometry: Developments & Postulates

2. Euclid's Axiomatic Geometry: Developments & Postulates

Learn how the way we do proofs in geometry had its start with Euclid in this video lesson. Learn about his contributions to the geometry we know today. Also learn about the five basic truths that he used as a basis for all other teachings.

Points, Lines & Angles in Geometry

3. 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.

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

4. 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.

Parallel, Perpendicular and Transverse Lines

5. 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.

Properties of Shapes: Rectangles, Squares and Rhombuses

6. Properties of Shapes: Rectangles, Squares and Rhombuses

What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.

Triangles: Definition and Properties

7. Triangles: Definition and Properties

What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.

Perimeter of Triangles and Rectangles

8. Perimeter of Triangles and Rectangles

Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.

Area of Triangles and Rectangles

9. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

The Pythagorean Theorem: Practice and Application

10. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

Circles: Area and Circumference

11. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

Using Symmetry to Describe Tessellations

12. Using Symmetry to Describe Tessellations

Tessellations are a very common way for geometric concepts to be applied in the real world. In this lesson, we'll look at how to use symmetry to help describe different types of tessellations.

Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

13. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.

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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