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Ch 32: Praxis Middle School Math: Properties of Triangles

About This Chapter

Consult this chapter to refresh your understanding of the properties of triangles to help prepare you for any related questions the Praxis Middle School Mathematics exam may ask.

Praxis Middle School Math: Properties of Triangles - Chapter Summary

As you study for the Praxis Middle School Mathematics exam, this chapter will provide a resource for developing your knowledge of triangles. These lessons will explain the basic properties of triangles and will detail the following topics that will enhance your abilities to answer any triangle-related questions on the exam:

  • Angle-angle-side theorem and other triangle congruency postulates
  • Congruency of isosceles and right triangles
  • Properties of concurrent lines in a triangle
  • Equilateral and right triangles and their properties
  • Median, altitude, and angle bisectors of a triangle
  • Measuring a triangle's angles

These lessons present the information to you in the form of short, creatively animated videos. If that is not the method you learn best with, read the accompanying full transcription. Should you need further assistance with any of the topics, submit your request to our experts and they will reply as soon as they are able.

10 Lessons in Chapter 32: Praxis Middle School Math: Properties of Triangles
Test your knowledge with a 30-question chapter practice test
The AAS (Angle-Angle-Side) Theorem: Proof and Examples

1. The AAS (Angle-Angle-Side) Theorem: Proof and Examples

When trying to find out if triangles are congruent, it's helpful to have as many tools as possible. In this lesson, we'll add to our congruence toolbox by learning about the AAS theorem, or angle-angle-side.

Triangle Congruence Postulates: SAS, ASA & SSS

2. Triangle Congruence Postulates: SAS, ASA & SSS

When we have two triangles, how can we tell if they're congruent? They may look the same, but you can be certain by using one of several triangle congruence postulates, such as SSS, SAS or ASA.

Congruency of Isosceles Triangles: Proving the Theorem

3. Congruency of Isosceles Triangles: Proving the Theorem

Isosceles triangles have two equal sides. Are the base angles also equal? In this lesson, we'll prove how this is true. We'll also prove the theorem's converse.

Properties of Concurrent Lines in a Triangle

4. 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.

Triangles: Definition and Properties

5. 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.

What is an Equilateral Triangle? - Definition, Properties & Formula

6. What is an Equilateral Triangle? - Definition, Properties & Formula

In this lesson, you'll discover what equilateral triangles are and the properties they have that make them unique. You'll also learn two formulas that are associated with equilateral triangles. Then, you can test your knowledge with a brief 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 Right Triangles: Theorems & Proofs

8. 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.

Congruency of Right Triangles: Definition of LA and LL Theorems

9. Congruency of Right Triangles: Definition of LA and LL Theorems

In this lesson, we'll learn two theorems that help us prove when two right triangles are congruent to one another. The LA theorem, or leg-acute, and LL theorem, or leg-leg, are useful shortcuts for proving congruence.

Measuring the Angles of Triangles: 180 Degrees

10. Measuring the Angles of Triangles: 180 Degrees

Watch this video lesson to see why a triangle's angles always add up to 180 degrees. Also, learn how you can use this unique fact about triangles to find an unknown angle in a triangle.

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.
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Other Chapters

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