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Ch 31: CEOE Middle Level/Intermediate Math: Right Triangle Proofs

About This Chapter

This chapter is a refresher to help you on your upcoming Certification Examinations for Oklahoma Educators (CEOE) Middle Level/Intermediate Math test. These lessons are about right triangle proofs.

CEOE Middle Level/Intermediate Math: Right Triangle Proofs - Chapter Summary

In order to help Oklahoma teachers and aspiring teachers pass their CEOE Middle Level/Intermediate Math test, Study.com put together this refresher lesson set. The lessons will help you answer test questions, addressing right triangle proofs concepts like:

  • The explanation and proof of the hypotenuse angle theorem
  • The definition and proof of the hypotenuse leg theorem
  • Theorems relating to congruency of right triangles
  • Theorems and proofs for properties of right triangles
  • The Pythagorean Theorem
  • The converse and special cases of the Pythagorean Theorem
  • Types and properties of special right triangles
  • Using the Pythagorean Theorem for finding distance

Our subject matter experts put these short video lessons together, and included a quiz at the end for a self-assessment for you to gauge your comprehension. Use the handy timeline tool for going right to the source of information in the lesson if you miss a question. You can also use the contact-an-expert feature to submit a question.

8 Lessons in Chapter 31: CEOE Middle Level/Intermediate Math: Right Triangle Proofs
Test your knowledge with a 30-question chapter practice test
The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples

1. The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples

In this lesson, we'll learn about the hypotenuse angle theorem. With this theorem, we can prove two right triangles are congruent with just congruent hypotenuses and acute angles.

The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples

2. The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples

In this lesson, we'll learn about the hypotenuse leg theorem. This theorem enables us to prove two right triangles are congruent based on just two sides.

Congruency of Right Triangles: Definition of LA and LL Theorems

3. 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.

Properties of Right Triangles: Theorems & Proofs

4. 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.

Pythagorean Theorem: Definition & Example

5. Pythagorean Theorem: Definition & Example

Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.

The Pythagorean Theorem: Converse and Special Cases

6. 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.

Special Right Triangles: Types and Properties

7. Special Right Triangles: Types and Properties

Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.

Finding Distance with the Pythagorean Theorem

8. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

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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Other Chapters

Other chapters within the OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

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