Ch 28: TExES Core Subjects EC-6: Properties of Geometric Shapes

About This Chapter

Prepare for the TExES Core Subjects EC-6 exam by using this chapter to review the properties of geometric shapes. These lessons will help you ensure you're familiar with these properties and their applications.

TExES Core Subjects EC-6: Properties of Geometric Shapes - Chapter Summary

Your understanding of the properties of geometric shapes will be tested by the TExES Core Subjects EC-6 exam. This chapter will give you the opportunity to review:

  • The axiomatic system
  • Types of angles, points and lines
  • Properties of rectangles, squares, rhombuses and triangles
  • How to find the perimeter and area of triangles and rectangles
  • Applications of the Pythagorean theorem
  • Tips for identifying similar triangles
  • Methods for finding the area and circumference of circles
  • Steps for describing tessellations

The video lessons within this chapter were crafted by experts in the field of geometry to help you understand these properties. You can use the timeline that accompanies each video to go directly to the information you'd like to study. Once you're confident in your understanding, complete our self-assessment quizzes to make sure you can apply the properties you've studied.

12 Lessons in Chapter 28: TExES Core Subjects EC-6: 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.

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.

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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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.

How to Identify Similar Triangles

10. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability 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.

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 Core Subjects EC-6 (291): Practice & Study Guide course

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