Ch 30: TExES Physics/Math 7-12: Properties of Triangles

About This Chapter

As you prepare for the TExES Physics/Math 7-12 exam, you may want to review what you know about the properties of triangles. Watch the lesson videos in this chapter to improve your knowledge on the equations used to calculate the properties of triangle, classifications of triangles and identifying similar triangles.

TExES Physics/Math 7-12: Properties of Triangles - Chapter Summary

As part of your preparation for the Texas Examination of Educators Standards (TExES) Physics/Mathematics 7-12 exam, be sure to review what you need to know about the properties of triangles. In this series of lesson videos, watch our professional instructors discuss the definitions of the different types of triangles and the equations used to determine their properties. After watching these videos you should have a better understanding of:

  • Properties of a triangle
  • Finding the area and perimeter of triangles
  • How triangles are classified by angles and sides
  • Interior and exterior angles of triangles
  • Identifying similar triangles
  • Finding the median of a triangle
  • Constructing triangles
  • Properties of concurrent lines and dilations

After watching these lesson videos, complete the lesson worksheets to fortify your understanding of the material. Improve your understanding of un-mastered material by returning to the key points in the lesson videos with video tags. If you feel you would benefit from an alternative way to review the material, read over the lesson transcripts. If at any time you have any questions, ask our expert instructors for assistance so that you can effectively master the material before you take the TExES Physics/Mathematics 7-12 exam.

TExES Physics/Math 7-12: Properties of Triangles Objectives

The TExES Physics/Mathematics 7-12 test is a computer-based certification test used in the state of Texas to certify physics and math teachers. The objective of this chapter is to prepare you for questions related to the properties of triangles. These questions are found within the subsection on geometry and measurements, which makes up 10% of the 120 multiple-choice questions on the test.

Watch the lesson videos as they step through example problems finding different measurements of triangles then practice on your own with the quizzes to get the full use of this chapter and to be prepared for related questions on the TExES Physics/Mathematics 7-12 exam.

12 Lessons in Chapter 30: TExES Physics/Math 7-12: 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.

Angles and Triangles: Practice Problems

7. Angles and Triangles: Practice Problems

Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.

Constructing the Median of a Triangle

8. Constructing the Median of a Triangle

If you have one triangle and want to divide it, you can use a median line. Medians have special geometric properties that we'll learn about in this lesson.

Median, Altitude, and Angle Bisectors of a Triangle

9. 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.

Constructing Triangles: Types of Geometric Construction

10. Constructing Triangles: Types of Geometric Construction

When you're asked to construct a triangle, it's time to break out that compass and straight edge! In this lesson, find out how to construct triangles no matter what you're given.

Properties of Concurrent Lines in a Triangle

11. 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 Basic Dilations

12. Properties of Basic Dilations

A dilation is the geometric term given to the shrinking or enlarging of a shape while keeping its orientation. It is one of the basic four types of transformations.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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