# Ch 27: FTCE Math: Quadrilaterals & Polygons

### About This Chapter

## FTCE Math: Quadrilaterals & Polygons - Chapter Summary

Review the material covered in these lessons to reinforce your understanding of the steps used to find the properties of quadrilaterals and other polygons. These lessons are taught by our expert instructors, who will help you in your study by explaining these processes with a series of example problems. After these lessons, you should be better prepared for exam questions about:

- Properties and proof theorems of parallelograms
- Constructing and finding the properties of rectangles and squares
- Properties of trapezoids
- Regular polygons and their parts
- The number of diagonals in a polygon
- Measurements of the angles of polygons and their sums
- Geometric proofs for polygons and their importance
- Similar polygons and their properties

If you don't have time to watch these lessons at your home computer, watch them when you are out on your internet-ready mobile device whenever you have down time. After watching these lesson videos, fortify your understanding of the topics covered by reading the lesson transcripts. If you discover a topic that you don't understand, be sure to ask our instructors for clarification via the teacher tabs of the lessons before you take the Florida Teacher Certification Examination (FTCE) Mathematics exam.

### 1. Parallelograms: Definition, Properties, and Proof Theorems

Watch this video lesson to learn how you can identify parallelograms. You will see the unique properties that belong to the parallelogram. You will see the special side and angle characteristics needed to prove a certain shape is a parallelogram.

### 2. Rectangles: Definition, Properties & Construction

Watch this video lesson to learn a bit about rectangles. Learn why rectangles are the building blocks of many homes. Also, learn about the properties that make a rectangle unique from other shapes. Finally, learn how you can draw one.

### 3. Squares: Definition and Properties

Squares can be found in many places in the real world. Watch this video lesson to see how useful they can be and also to learn how to find the perimeter and area of a square.

### 4. Trapezoids: Definition and Properties

Watch this video lesson to learn what a trapezoid has to do with a triangle. Also, learn the special words that describe the various parts of a trapezoid. You will also see special types of trapezoids.

### 5. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

### 6. How to Find the Number of Diagonals in a Polygon

At first, you might think that the diagonals of a polygon are pretty useless, but watch this video lesson to learn how diagonals are used in real life. You will learn the formula to find how many diagonals a polygon has as well as how to use it.

### 7. How to Measure the Angles of a Polygon & Find the Sum

Watch this video lesson to learn the one formula that lets you find the measure of angles in any regular polygon. Also, learn how you can tell if you are working with a regular polygon or not.

### 8. Geometric Proofs for Polygons

Watch this video lesson to learn why it is important for you to learn how to do formal proofs in geometry. Also learn how to set up a proof and how to successfully execute one.

### 9. 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.

### 10. 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!

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### Other Chapters

Other chapters within the FTCE Mathematics 6-12 (026): Practice & Study Guide course

- About the FTCE Math Test
- FTCE Math: Properties of Real Numbers
- FTCE Math: Linear Equations
- FTCE Math: Linear Inequalities
- FTCE Math: Absolute Value Expressions & Equations
- FTCE Math: Systems of Linear Equations
- FTCE Math: Ratios & Proportions
- FTCE Math: Rational Expressions & Equations
- FTCE Math: Radical Expressions & Equations
- FTCE Math: Complex Numbers
- FTCE Math: Quadratics
- FTCE Math: Polynomials
- FTCE Math: Exponential & Logarithmic Equations
- FTCE Math: Vector Operations
- FTCE Math: Sequences & Series
- FTCE Math: Matrix Operations & Determinants
- FTCE Math: Functions
- FTCE Math: Piecewise Functions
- FTCE Math: Area & Perimeter
- FTCE Math: Surface Area & Volume
- FTCE Math: Foundations of Geometry
- FTCE Math: Lines & Angles
- FTCE Math: Geometric Construction
- FTCE Math: Properties of Triangles
- FTCE Math: Similar & Congruent Triangle Proofs
- FTCE Math: Right Triangle Proofs
- FTCE Math: Circles & Arcs
- FTCE Math: Conic Sections
- FTCE Math: Coordinate Geometry
- FTCE Math: Transformations in Geometry
- FTCE Math: Trigonometry
- FTCE Math: Overview of Statistics
- FTCE Math: Data Analysis & Statistics
- FTCE Math: Regression & Correlation
- FTCE Math: Graphic Representations of Data
- FTCE Math: Sampling in Statistics
- FTCE Math: Probability
- FTCE Math: Limits
- FTCE Math: Rate of Change
- FTCE Math: Calculating Derivatives & Derivative Rules
- FTCE Math: Graphing Derivatives
- FTCE Math: Integration & Integration Techniques
- FTCE Math: Integration Applications
- FTCE Math: Mathematical Reasoning
- FTCE Math: Teaching Strategies & Methods
- FTCE Math: Assessing Student Learning
- FTCE Math: Manipulatives & Models in the Classroom
- FTCE Math: Problem-Solving Strategies
- FTCE Mathematics 6-12 Flashcards