Ch 35: TExMaT Master Mathematics Teacher 8-12: Properties of Triangles

About This Chapter

Discover what you remember about the properties of triangles by studying this chapter's online video lessons. Use your improved knowledge to accurately answer relevant questions when you take the TExMaT Master Mathematics Teacher 8-12 examination.

TExMaT Master Mathematics Teacher 8-12: Properties of Triangles - Chapter Summary

The educational video lessons in this chapter encompass much of what you need to know about the properties of triangles. Utilizing the interactive lessons can prepare you to decisively answer like questions on the TExMaT Master Mathematics Teacher 8-12 examination. Recall the basics and purpose of the Pythagorean theorem, and expand your knowledge of triangle similarity theorems. The chapter can also help you to:

  • Calculate the area and perimeter of circles, rectangles and triangles
  • Find the properties of dilations
  • Classify triangles and find the sum of interior and exterior angles
  • Understand the properties of concurrent lines and similar triangles as well as median, altitude and angle bisectors
  • Measure the properties of right triangles
  • Apply the Pythagorean theorem and use converse and special cases

When you review these topics in preparation for passing the TExMaT Master Mathematics Teacher 8-12 examination, you'll do so with the help of accomplished instructors. You can brush up on the properties of triangles at your own convenience and submit your questions on the subject matter. Take the lesson quizzes to ensure you're getting the most out of the videos.

TExMaT Master Mathematics Teacher 8-12: Properties of Triangles Chapter Objectives

The information you've reviewed in this chapter can be applied when you're taking the geometry and measurement section of the TExMaT Master Mathematics Teacher 8-12 examination; this section makes up 18% of the test. In addition to completing one case study assignment, you'll provide answers to 90 multiple-choice questions during the five-hour examination. By demonstrating your in-depth knowledge of the properties of triangles, you'll increase your probability of earning a mathematics teaching endorsement.

11 Lessons in Chapter 35: TExMaT Master Mathematics Teacher 8-12: Properties of Triangles
Test your knowledge with a 30-question chapter practice test
Triangles: Definition and Properties

1. 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.

Area of Triangles and Rectangles

2. 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.

Classifying Triangles by Angles and Sides

3. Classifying Triangles by Angles and Sides

Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.

Perimeter of Triangles and Rectangles

4. 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.

Interior and Exterior Angles of Triangles: Definition & Examples

5. Interior and Exterior Angles of Triangles: Definition & Examples

Knowing just a few things about the interior or exterior angles of triangles is sometimes all you need to put all the pieces together. Find out more in this lesson.

How to Identify Similar Triangles

6. 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.

Median, Altitude, and Angle Bisectors of a Triangle

7. Median, Altitude, and Angle Bisectors of a Triangle

Line segments in triangles are just clutter; they have special names and qualities depending on how they're drawn. In this lesson, we'll learn about medians, altitudes and angle bisectors.

Properties of Concurrent Lines in a Triangle

8. Properties of Concurrent Lines in a Triangle

Centroids, orthocenters, incenters, circumcenters, oh my! Don't worry though. In this lesson, we master the various terms for concurrent lines in triangles and match them to altitudes, angle bisectors, perpendicular bisectors and medians.

Properties of Right Triangles: Theorems & Proofs

9. Properties of Right Triangles: Theorems & Proofs

In this lesson, you will learn about the properties of and theorems associated with right triangles, which have a wide range of applications in math and science. Specifically, we will discuss and prove the Pythagorean theorem and the right triangle altitude theorem. Let's get started.

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.

The Pythagorean Theorem: Converse and Special Cases

11. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

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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