# Ch 4: NY Regents - Similar Polygons: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering geometry material for the NY Regents Exam will benefit from taking this course. There is no faster or easier way to learn high school geometry. Among those who would benefit are:

- Students who have fallen behind in understanding the Pythagorean theorem, defining polygons, describing the characteristics of polygons, or working with similar polygons
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about similar polygons for the NY Regents Exam
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Similar Polygons chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the Similar Polygons chapter exam to be prepared for the NY Regents Exam.**Get Extra Support:**Ask our subject-matter experts any similar polygons question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a similar polygons unit of a standard NY Regents Exam - Geometry review course. Topics covered include:

- Proportion, ratio and geometric mean
- Solving problems that include proportions
- Definition of similar polygons
- The AA criterion for similar triangles
- The transitive property for similar triangles
- Triangle proportionality theorem
- Construction of similar polygons
- Properties of right triangles
- The Pythagorean theorem

### 1. Ratios and Proportions: Definition and Examples

Watch this video lesson to learn how ratios and proportions are related. Also, learn how ratios and proportions are used in real life and how you can apply them to yours.

### 2. Geometric Mean: Definition and Formula

Watch this video lesson to learn how different the geometric mean is from the arithmetic mean, or average, that we are all so familiar with. Learn in what circumstance the geometric mean is preferred. Also, learn the formula and how to use it.

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

Watch this video lesson and learn how you can use the angle bisector theorem to help you find the lengths of missing sides. Also learn how you can identify an angle bisector just by looking at the lengths of the sides of a triangle.

### 4. Solving Problems Involving Proportions: Definition and Examples

Learn how you can use proportions to find missing sides and how to increase or decrease the sizes of objects to create models of them in this video lesson.

### 5. Similar Polygons: Definition and Examples

Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.

### 6. The Transitive Property of Similar Triangles

Watch this video lesson and you will understand what the transitive property is and how it applies to similar triangles. Watch as we apply the transitive property to three similar triangles.

### 7. Triangle Proportionality Theorem

Watch this video lesson to learn all about the triangle proportionality theorem and how you can use this interesting theorem to help you solve problems. Learn how a parallel line can create sides that are proportional to each other.

### 8. Constructing Similar Polygons

This lesson will teach you how to construct similar polygons, which are very useful in many quantitative fields. You'll learn that all of this has something to do with, of all things, snowflakes!

### 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.

### 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.

### 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.

### 12. Nonagon: Definition & Shape

In this lesson, we are going to learn about regular and irregular nonagons. We will also look at some examples of each and discuss the properties that apply to nonagons.

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### Other Chapters

Other chapters within the NY Regents Exam - Geometry: Help and Review course

- NY Regents - Foundations of Geometry: Help and Review
- NY Regents - Logic in Mathematics: Help and Review
- NY Regents - Introduction to Geometric Figures: Help and Review
- NY Regents - Quadrilaterals: Help and Review
- NY Regents - Circular Arcs and Circles: Help and Review
- NY Regents - Analytical Geometry: Help and Review
- NY Regents - Triangles and Congruency: Help and Review
- NY Regents - Parallel Lines and Polygons: Help and Review
- NY Regents - Geometric Solids: Help and Review
- NY Regents Exam - Geometry Help and Review Flashcards