# Ch 17: Ohio EOCE Integrated Math I: Theorems & Proofs

### About This Chapter

## Ohio EOCE Integrated Math I: Theorems & Proofs - Chapter Summary

Use this comprehensive overview of theorems and proofs to ensure you're prepared to answer related questions on the Ohio End of Course Exam - Integrated Math I. This chapter gives you insight into the topics you might see on the exam. Once you've reviewed the lessons, you will be prepared for the following on the day of the test:

- Explaining the converse of a statement
- Discussing the perpendicular bisector theorem
- Sharing details about the angle bisector theorem
- Describing the AAS (angle-angle-side) theorem
- Providing details about the HA (hypotenuse-angle) theorem
- Defining the HL (hypotenuse-leg) theorem

Expert instructors have compiled study materials and presented them in the form of short and engaging video lessons you can review any time, day or night. Access the lessons from your computer, smartphone or tablet, and even review full transcripts of the video lessons that feature helpful vocabulary words. Before, during or after exploring each lesson, feel free to take the accompanying self-assessment quiz to gauge your comprehension of theorems and proofs concepts. If you have questions about any lesson topic, don't hesitate to send them to our experts.

### 1. Converse of a Statement: Explanation and Example

Just because a conditional statement is true, is the converse of the statement always going to be true? In this lesson, we'll learn the truth about the converse of statements.

### 2. Perpendicular Bisector Theorem: Proof and Example

Perpendicular bisectors are multifunctional lines. They're not only perpendicular to the line in question, they also neatly divide it into two equal halves. In this lesson, we'll learn about the perpendicular bisector theorem.

### 3. Angle Bisector Theorem: Proof and Example

The angle bisector theorem sounds almost too good to be true. In this lesson, we set out to prove the theorem and then look at a few examples of how it's used.

### 4. 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.

### 5. 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.

### 6. 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.

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### Other Chapters

Other chapters within the Ohio End of Course Exam - Integrated Math I: Test Prep & Practice course

- Ohio EOCE Integrated Math I: Basic Math
- Ohio EOCE Integrated Math I: Decimals & Percents
- Ohio EOCE Integrated Math I: Inequalities
- Ohio EOCE Integrated Math I: Solving Linear Equations
- Ohio EOCE Integrated Math I: Systems of Linear Equations
- Ohio EOCE Integrated Math I: Distributing Terms in Algebra
- Ohio EOCE Integrated Math I: Exponents
- Ohio EOCE Integrated Math I: Polynomials
- Ohio EOCE Integrated Math I: Rational Expressions
- Ohio EOCE Integrated Math I: FOIL & Quadratic Equations
- Ohio EOCE Integrated Math I: Functions Overview
- Ohio EOCE Integrated Math I: Matrices & Absolute Value
- Ohio EOCE Integrated Math I: Square Roots
- Ohio EOCE Integrated Math I: Basic Algebra
- Ohio EOCE Integrated Math I: Rotations
- Ohio EOCE Integrated Math I: Foundations of Geometry
- Ohio EOCE Integrated Math I: Complex Numbers
- Ohio EOCE Integrated Math I: Exponential & Logarithmic Expressions
- Ohio EOCE Integrated Math I: Factorials & Binomial Theory
- Ohio EOCE Integrated Math I: Sequences & Series
- Ohio End of Course Exam - Integrated Math I Flashcards