In this lesson I will teach you about transformations and reflections. You can think of a transformation as taking the shape of a figure and moving it somewhere else on the x/y plane. The term we use for moving a figure is called “mapping” so a transformation is a where we map a figure to a different place on the x/y plane. What I just told you is a basic explanation of a transformation and there is a lot more to understand. One type of transformation is a reflection. Of course when we use the word reflection we think of a mirror. Now if you think about it a mirror image is an image that has been moved to another location- from the actual spot to a projected spot. The function of projecting a image to another place is the essence of what transformations are about. So after we learn about reflections we will look at other transformations in the next few lessons. Lastly you want to use graph paper and a ruler for this section- lots of drawing is involved. Pop quiz: can you solve a quadratic equation? don’t forget to keep doing a little algebra review as you study geometry. Good luck!

### Video Lessons By Topic

- Absolute Value Inequalities
- Adding and Subtracting Fractions
- Adding and Subtracting Polynomials
- Adding and Subtracting Rational Expressions
- Adding Real Numbers
- Algebra Properties
- Angles
- Arcs and Chords
- Area of Basic Figures
- Best Fitting Lines
- Bisector Theorems
- Circles: Area and Circumference
- Completing The Square
- Complex and Imaginary Numbers
- Composite Functions
- Compound Inequalities
- Compound Interest
- Conditional Statements and Converses
- Congruent Figures
- Deductive and Inductive Reasoning
- Determinants
- Direct and Inverse Variation
- Distributive Property
- Division Rules of Exponents
- Equations-Inequalities-Solutions
- Exponential Growth and Decay
- Factoring Greatest Common Factor
- Factoring Quadratic Trinomials
- Finding The LCD of Rational Expressions
- Formulas and Literal Equations
- Function Operations
- Find The Equation of a Line: Given Slope and a Point
- Find The Equation of a Line: Given Two Points
- Graphing Absolute Value Equations
- Graphing Functions
- Graphing Two Variable Linear Inequalities
- Graphing Lines With One Variable
- Graphing Lines With Two Variables
- Graphing Polynomials
- Graphing Quadratic Equations
- Graphing Quadratic Inequalities
- How to Plan and Write a Proof
- Identity and Inverse Matrices
- Inscribed Circles
- Introduction to Absolute Value
- Introduction to Circles and Tangents
- Introduction to Fractions and Decimals
- Introduction to Functions and Relations
- Introduction to Logarithms
- Introduction to Matrices
- Introduction to Polygons
- Introduction to Polynomials
- Introduction to Quadratic Equations
- Inverse Functions
- Least Common Multiple / Denominator
- Line Segments and Rays
- Linear and Nonlinear Functions
- Linear Inequalities
- Linear Models / Word Problems
- Linear Programming
- Matrix Multiplication
- Matrix Operations
- Medians-Altitudes-Bisectors
- More on Angles and Lines
- Multiplying and Dividing Fractions
- Multiplying and Dividing Rational Expressions
- Multiplying and Dividing Real Numbers
- Multiplying Polynomials
- Multiplying Polynomials Special Cases
- Natural Logarithms
- Negative and Zero Exponents Rules
- Number Operations
- Operations with Radicals
- Order of Operations
- Other Angle Relationships in Circles
- Parallel Lines and Transversals
- Parallelograms
- Percent
- Points-Lines-Planes
- Polynomial Division (Long and Synthetic)
- Product and Power Rules of Exponents
- Properties of Logarithms
- Properties of Parallel and Perpendicular Lines
- Proving Congruent Triangles: ASA and AAS Theorems
- Proving Congruent Triangles: HL Theorem
- Proving Congruent Triangles: SSS and SAS Theorem
- Proving Lines Parallel
- Proving Quadrilaterals are Parallelograms
- Quadratic Equation Word Problems
- Quadrilaterals-Triangles-Midpoints
- Rational Root Theorem (Rational Zero Test)
- Ratios and Proportions
- Ratios and Proportions (Geometry)
- Real Number System
- Reflections
- Remainder and Factor Theorem
- Right Triangle Word Problems
- Rotations and Dilations
- Scientific Notation
- Segment Lengths and Circles
- Similar Polygons
- Similar Right Triangles
- Similar Triangles
- Simplifying by Combining Like Terms
- Simplifying Radicals
- Simplifying Rational Expressions
- Slope Intercept Method
- Solving Absolute Value Equations
- Solving Exponential Equations
- Solving Linear System Word Problems
- Solving Logarithmic Equations
- Solving Multi-Step Equations
- Solving n-Degree Polynomial Equations
- Solving One-Step Equations
- Solving Polynomial Equations by Factoring
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Square Roots
- Solving Radical Equations
- Solving Rational Equations
- Solving Systems by Elimination-Combination Method
- Solving Systems by Graphing
- Solving Systems of Linear Inequalities
- Solving Systems Substitution Method
- Solving Systems using Cramer’s Rule
- Solving Systems using Inverse Matrices
- Solving Two Step Equations
- Special Factoring Rules
- Special Functions
- Special Linear Systems
- Special Quadrilaterals
- Special Right Triangles
- Standard Form of Linear Equations
- Subtracting Real Numbers
- Sum and Difference of Two Cubes
- Surface Area of Basic Figures
- The Discriminant- Type of Roots
- The Distance and Mid-Point Formulas
- The Natural Base e
- The Pythagorean Theorem
- The Quadratic Formula
- The Slope of a Line
- Theorems and Postulates
- Translating Verbal and Algebraic Phrases
- Translations and Guide Reflections
- Trapezoids
- Triangle Inequalities
- Trigonometric Ratios
- Using Point-Slope Intercept
- Using Slope-Intercept Form
- Variables
- Volume of Basic Figures
- XY Intercept Method