Ch 28: TExES Core Subjects EC-6: Properties of Geometric Shapes
About This Chapter
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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.
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Other Chapters
Other chapters within the TExES Core Subjects EC-6 (291): Practice & Study Guide course
- About the TExES Core Subjects EC-6 Exam
- TExES Core Subjects EC-6: Language Development & Instruction
- TExES Core Subjects EC-6: Oral Communication Skills
- TExES Core Subjects EC-6: Early Literacy Development
- TExES Core Subjects EC-6: Reading Fluency & Word Analysis
- TExES Core Subjects EC-6: Reading Comprehension & Assessment
- TExES Core Subjects EC-6: Reading Strategies & Application
- TExES Core Subjects EC-6: Writing Conventions
- TExES Core Subjects EC-6: Composition
- TExES Core Subjects EC-6: Visual Media
- TExES Core Subjects EC-6: Study & Research Skills
- TExES Core Subjects EC-6: Mathematical Instruction
- TExES Core Subjects EC-6: Basic Arithmetic
- TExES Core Subjects EC-6: Number Theories & Computation
- TExES Core Subjects EC-6: Math Expressions & Formulas
- TExES Core Subjects EC-6: Decimals
- TExES Core Subjects EC-6: Fractions
- TExES Core Subjects EC-6: Percent Notation
- TExES Core Subjects EC-6: Calculations, Ratios & Proportions
- TExES Core Subjects EC-6: Real Numbers
- TExES Core Subjects EC-6: Sequences
- TExES Core Subjects EC-6: Algebraic Expressions & Equations
- TExES Core Subjects EC-6: Solving Algebraic Equations
- TExES Core Subjects EC-6: Functions
- TExES Core Subjects EC-6: Solving & Graphing Inequalities
- TExES Core Subjects EC-6: Linear Equations
- TExES Core Subjects EC-6: Measurement & the Metric System
- TExES Core Subjects EC-6: Triangles, Theorems & Proofs
- TExES Core Subjects EC-6: 3D Geometric Figures
- TExES Core Subjects EC-6: Summarizing Data
- TExES Core Subjects EC-6: Organizing & Displaying Data
- TExES Core Subjects EC-6: Mathematical Probability
- TExES Core Subjects EC-6: Math Processes & Perspectives
- TExES Core Subjects EC-6: Basic History Concepts
- TExES Core Subjects EC-6: Early America
- TExES Core Subjects EC-6: American Revolution & Reform
- TExES Core Subjects EC-6: Overview of the 20th Century
- TExES Core Subjects EC-6: Geography of the World
- TExES Core Subjects EC-6: Geographic Relationships
- TExES Core Subjects EC-6: Economic Principles
- TExES Core Subjects EC-6: Major Events in Economic History
- TExES Core Subjects EC-6: Government & Citizenship
- TExES Core Subjects EC-6: Political Documents & Landmark Cases
- TExES Core Subjects EC-6: Culture & Society
- TExES Core Subjects EC-6: Foundation of Social Studies
- TExES Core Subjects EC-6: Social Studies Instruction
- TExES Core Subjects EC-6: Scientific Inquiry
- TExES Core Subjects EC-6: Safety in Science Classrooms
- TExES Core Subjects EC-6: Scientific Impact on Daily Life
- TExES Core Subjects EC-6: Forces & Motion
- TExES Core Subjects EC-6: Properties & Changes in Matter
- TExES Core Subjects EC-6: Matter & Energy
- TExES Core Subjects EC-6: Energy Transformations
- TExES Core Subjects EC-6: Structure & Function of Organisms
- TExES Core Subjects EC-6: Reproduction & Heredity
- TExES Core Subjects EC-6: Organisms & the Environment
- TExES Core Subjects EC-6: Earth Systems & Cycles
- TExES Core Subjects EC-6: Weather & Climate
- TExES Core Subjects EC-6: Solar System & the Universe
- TExES Core Subjects EC-6: Science Instruction & Assessment
- TExES Core Subjects EC-6: Visual Arts
- TExES Core Subjects EC-6: Music Terminology
- TExES Core Subjects EC-6: Music Instruction
- TExES Core Subjects EC-6: Health & Disease
- TExES Core Subjects EC-6: Personal Health
- TExES Core Subjects EC-6: Human Growth & Development
- TExES Core Subjects EC-6: Health Promotion & Resources
- TExES Core Subjects EC-6: P.E. & Health Instruction
- TExES Core Subjects EC-6: Teaching Theater
- TExES Core Subjects EC-6 Flashcards