About This Chapter
Discover the mathematical dimensions of parallel lines and polygons as you study to take the GACE Math exam.
GACE Math: Parallel Lines & Polygons - Chapter Summary
Learn the strategies of finding angles, measurements and proofs in this chapter on parallel lines and polygons. Explore examples of parallel postulates, become proficient at measuring the area and perimeter of polygons, and discover how to find sums as you go through this chapter's material. These lessons will cover the following specific topics that will be a part of the GACE Math test:
- Converse statements
- Prove parallel lines
- Angles of a transversal
- Parallel postulate & indirect proof
- Perimeter of polygons
- Diagonals and regular polygons
- Measurements of angles & area
Listen and watch as qualified instructors guide you through each chapter. Focus on the different aspects of polygons and parallel lines in order to prepare for the exam. The instructors' teaching methods, utilizing these video lessons, create a fun and engaging educational process.
Objectives of the GACE Math: Parallel Lines & Polygons Chapter
The assessments offered by GACE evaluate aspiring teachers' professional competencies in different academic areas. They are designed to certify educators and verify their qualifications to teach. This chapter on parallel lines and polygons is one aspect of the GACE test in mathematics. The multiple-choice quizzes that you will find at the end of each of this chapter's lessons will show you questions similar to those found on the test itself.
The GACE Math exam consists of two subtests, offered separately or in a combined format. Both subtests contain 45 selected-response questions and will last for approximately 4-5 hours. GACE offers test-takers the option to purchase a specially designed practice exam prior to taking the actual test.
1. Angles Formed by a Transversal
When you have a pair of parallel lines and a transversal, something very interesting happens to the angles that are formed. You can see this happen in real life at street intersections and such. Watch this video lesson to learn about all of this.
2. Parallel Lines: How to Prove Lines Are Parallel
Watch this video lesson to learn how you can prove that two lines are parallel just by matching up pairs of angles. Learn which angles to pair up and what to look for.
3. Using Converse Statements to Prove Lines Are Parallel
Because a pair of parallel lines produces unique angle characteristics, we can use this information to our advantage. Watch this video lesson to see how we turn this advantage into converse statements to help us prove parallel lines.
4. The Parallel Postulate: Definition & Examples
In this lesson, you will learn about an important postulate in Euclidean geometry, called the Parallel Postulate. It sounds kind of hard, but this lesson explains it in simple terms and provides several examples of it as well.
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. Finding the Perimeter of Polygons
In this video lesson, you will learn the process you need to take to find the perimeter of polygons. You will also learn that there is a shortcut if your polygon is a regular polygon.
8. Measuring the Area of Regular Polygons: Formula & Examples
Watch this video lesson to learn why a regular polygon makes your life easier when it comes to finding the area inside one. Learn the one formula for area that will work for any type of regular polygon.
9. 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.
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Other chapters within the GACE Mathematics (522): Practice & Study Guide course
- GACE Math: Properties of Real Numbers
- GACE Math: Fractions
- GACE Math: Decimals & Percents
- GACE Math: Ratios & Proportions
- GACE Math: Measurements & Conversions
- GACE Math: Logic
- GACE Math: Mathematical Reasoning
- GACE Math: Vector Operations
- GACE Math: Matrices & Determinants
- GACE Math: Exponents & Exponential Expressions
- GACE Math: Algebraic Expressions
- GACE Math: Linear Equations
- GACE Math: Inequalities
- GACE Math: Absolute Value Problems
- GACE Math: Quadratic Equations
- GACE Math: Polynomials
- GACE Math: Rational Expressions
- GACE Math: Radical Expressions
- GACE Math: Systems of Equations
- GACE Math: Complex Numbers
- GACE Math: Functions
- GACE Math: Piecewise Functions
- GACE Math: Exponential & Logarithmic Functions
- GACE Math: Continuity of Functions
- GACE Math: Limits
- GACE Math: Rate of Change
- GACE Math: Calculating Derivatives & Derivative Rules
- GACE Math: Graphing Derivatives
- GACE Math: Applications of Derivatives
- GACE Math: Area Under the Curve & Integrals
- GACE Math: Integration Techniques
- GACE Math: Integration Applications
- GACE Math: Introduction to Geometric Figures
- GACE Math: Properties of Triangles
- GACE Math: Triangles, Theorems & Proofs
- GACE Math: Quadrilaterals
- GACE Math: Circular Arcs & Circles
- GACE Math: Conic Sections
- GACE Math: Geometric Solids
- GACE Math: Analytical Geometry
- GACE Math: Using Trigonometric Functions
- GACE Math: Trigonometric Graphs
- GACE Math: Solving Trigonometric Equations
- GACE Math: Trigonometric Identities
- GACE Math: Sequences & Series
- GACE Math: Graph Theory
- GACE Math: Set Theory
- GACE Math: Overview of Statistics
- GACE Math: Summarizing Data
- GACE Math: Tables & Plots
- GACE Math: Probability
- GACE Math: Discrete Probability Distributions
- GACE Math: Continuous Probability Distributions
- GACE Math: Sampling
- GACE Math: Regression & Correlation
- GACE Mathematics Flashcards