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Aim High School
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  • Algebra 1
    • 1st Semester >
      • Unit 0 - Master Pre-Algebra Skills >
        • Section 1 - What is an Integer?
        • Section 2 - Adding & Subtracting Integers
        • Section 3 - Multiplying and Dividing Integers
        • Section 4 - Exponents & Square Roots
        • Section 5 - Absolute Value
        • Section 5 - Add and Subtract Real Numbers
        • Section 4 - Multiply and Divide Real Numbers
        • Section 5 - Operations with Real Numbers
      • Unit 1 - Expressions & Number Types >
        • Section 1 - Evaluate Expressions (Order of Operations)
        • Section 2 - Translating Verbal Phrases into Algebraic Expressions
        • Section 3 - Number Types
        • Review >
          • 3 Act Math
      • Unit 2 - Properties of Algebra & Variable Expressions >
        • Section 1 - Algebraic Properties
        • Section 2 - Combine Like Terms
        • Section 3 - Distributive Property
        • Review
      • Unit 3 - Solve & Write Equations >
        • Section 1 - One Step Equations
        • Section 2 - Two-Step Equations
        • Section 3 - Writing 2 Step Equations >
          • 3 Act Math Activity - Pixels
        • Section 4 - Multi Step Equations
        • Section 5 - Variables on Both Sides
        • Section 6 - Solve a Formula for a Specified Variable
        • Review
      • Unit 4 - Ratios, Rates, Proportions, & Equations w/ Rational Coefficients >
        • 3 Act Math Activities
        • Section 1 - Ratios & Unit Rates
        • Section 2 - Conversions & Dimensional Anaylsis >
          • 4.2 - Interactive Assignment
        • Section 3 - Solving Proportions Using the Cross Product
        • Section 4 - Decimal & Fraction Coefficients
        • Section 5 - Work Rate Applicaitons
      • Unit 5 - Percentages & Percent Equations >
        • Section 1 - Mentally Taking Percents
        • Section 2 - Percent Expressions & Equations
        • Section 3 - Percent Increase & Percent Decrease
        • Section 4 - Advanced Percent Equations
      • Unit 6 - Linear Equations >
        • Section 1 - Introduction to Linear Relationships
        • Section 2 - Graphing Lines Using Intercepts
        • Section 3 - Rate of Change (Slope)
        • Section 4 - Slope Intercept Form
        • Section 5 - Write Equations in Slope Intercept Form
        • Section 6 - Use Equations in Slope Intercept Form
        • Review
      • Unit 7 - Write Linear Functions >
        • Section 1 - Equations in Parallel/Perpendicular Form
        • Section 2 - Graphing Linear Functions
        • Section 3 - ​Alg 7.3 - Graph, Write, & Analyze Linear Functions
        • Section 4 - Fit Data to a Line
        • Review
      • SEMESTER EXAM REVIEW
    • 2nd Semester >
      • Unit 8 - Systems of Equations >
        • Section 1 - Solving Systems by Graphing
        • Section 2 - Solve Systems by Substitution
        • Section 3 - Solve Systems by Elimination
        • Section 4 - Value Problems
        • Section 5 - Percent Applications >
          • Section 5 - Chemistry Application
        • Section 6 - D=R*T Applications
        • Review >
          • 3 ACT Math Activities
          • 3 Act
      • Unit 9 - Inequalities & Absolute Values >
        • Section 1 - Solve Inequalities
        • Section 2 - Compound Inequalities & Interval Notation
        • Section 3 - Graph Linear Inequalities
        • Section 4 - Absolute Value Equations
        • Section 5 - Solve Absolute Value Inequalities
        • REVIEW
      • Unit 10 - Exponents & Radicals >
        • Section 1 - Arithmetic & Geometric Sequences >
          • Interactive Assignments
        • Section 2 - Expand and Condense Exponents
        • Section 3 - Negative and Zero Exponents
        • Section 4 - Scientific Notation
        • Review
      • Unit 11 - Polynomials >
        • Section 1 - Adding and Subtracting Polynomials
        • Section 2 - Multiply Polynomial
        • Section 3 - ​Solving Polynomials in Factored Form
        • Section 4 - Factoring Trinomials
        • Section 5 - Solve Quadratics by Factoring
        • Section 6 - Factor by Grouping & What Solutions Mean Graphically
        • Review
      • Unit 12 - Square Roots >
        • Section 1 - Simplifying Square Roots
        • Section 2 - Operations with Square Roots
        • Review
      • Unit 13 - Quadratic Functions >
        • Section 1 - Graphing Quadratics in Standard Form
        • Section 2 - Solve Quadratics by Graphing
        • Section 3 - Solve Quadratics using Square Roots
        • Section 4 - Solve Quadratics using the Quadratic Formula
        • Section 5 - Graphing Absolute Value Inequalities
        • Review
      • SEMESTER 2 EXAM REVIEW
  • Geometry
    • SEMESTER 1 >
      • Unit 1 - Lines & Planes >
        • Section 1 - Points, Lines, Etc.
        • Section 2 - Segments
        • Section 3 - Angles
        • Section 4 - Angle Pairs & Arcs
        • Section 5 - Writing Proofs w/ Angles & Segments
        • Section 6 - Identify Lines and Angles
        • Section 7 - Properties of Parallel Lines
        • Section 8 - Parallel Lines & Triangles
        • Review
      • Unit 2 - Area and Perimeter >
        • Section 1A - Rectangles and Squares >
          • 3 Act Math Activities
        • Section 1B Rectangles w/ Factoring and Radicals >
          • More Examples of Rectangles Problems (w/ Factoring)
        • Section 2 - Triangle Classification and Properties
        • Section 3 - Pythagorean Theorem
        • Section 4 - Perimeter & Area of Triangles
        • Section 5 - Quadrilaterals
        • Section 6 - Polygons & Circles
        • Section 7 - Compound Figures
        • Review
      • ​Unit 3 - Surface Area & Volume >
        • Section 1 - Surface Area of Prisms
        • Section 2 - Surface Area of Pyramids
        • Section 3 - Volume of Prisms >
          • 3 Act Activities
        • Section 4 - Volume of Pyramids
        • Section 5 - Spheres
        • Test Review >
          • Review
      • Unit 4 - Proportional Relationships >
        • Section 1 - Proportions
        • Section 2 - Arc Length and Sectors >
          • 3 ACT Math
        • Section 3 - Similar Figures
        • Section 4 - Similar Triangles >
          • RELATED ACTIVITIES
        • Section 5 - Side Splitter
        • Section 6 - Scale Factors Area and Perimeter
        • Section 7 - Surface Area and Volume of Similar Solids
    • SEMESTER 2 >
      • Unit 5 - Congruent Figures & Proofs (Circles) >
        • Section 1 - Triangle Congruence Postulates
        • Section 2 - Congruent Triangle Proofs
        • Section 3 - Quadrilateral Proofs (Honors Only)
        • Section 4 - Circle Proofs
        • Section 5 - Coordinate Geometry Proofs
        • Section 6 - Circle Applications (Similar Triangle Proofs)
      • Unit 6 - Right Triangles and Trigonometry >
        • Section 1 - Sum of Interior and Exterior Angles
        • Section 2 - Special Right Triangles
        • Section 3 - Right Triangle Trigonometry >
          • 6.3 Interactive Problems
        • Section 4 - Applications of Trig
        • Section 5 - Law of Sines & Cosines
        • Review
      • Unit 7 - Coordinate Geometry >
        • Section 1 - Midpoint & Distance Formula
        • Section 2 - Distance Formula
        • Section 3 - Equation of a Circle
        • Section 4 - Organizing Coordinate Geometry Proofs
        • Section 5 - Coordinate Geometry Proofs
        • Review
        • Section 4 - Equations of Lines in the Coordinate Plane >
          • Section 5 - Slopes of Parallel and Perpendicular Lines
      • Unit 8 - Transformations >
        • Section 1 - Translations
        • Section 2 - Reflections
        • Section 3 - Rotations
        • Review
    • Final Exam Review
  • Algebra 2
    • Flipped Classroom Syllabus
    • Unit 0 - Algebra 1 Review >
      • Section 1 - Apply Properties of Real Numbers
      • Section 2 - Simplify Algebraic Expressions
      • Section 3 - Solve Linear Equations
      • Section 4 - Rewrite Formulas and Equations
      • Section 5 - Using Problem Solving Strategies and Model
      • Section 6 - Solve Linear Inequalities
      • Section 7 - Solve Absolute Value Equations and Inequalities
      • Section 8 - Find Slope and Rate of Change
      • Section 9 - Graph Equations of Lines
      • Section 10 - Graph & Write Equations of Lines
    • Unit 1 - Linear Systems and Matrices >
      • Section 1 - Solve Linear Systems of Equations by Graphing
      • Section 2 - Solve Linear Systems of Equations by Elimination
      • Section 3 - Solve Linear Systems of Equations Substitution
      • Section 4 - System of Equation (Any Method and More Story Problems) >
        • Story Problems
      • Section 5 - Systems of Inequalities
    • Unit 2 - Intro to Algebra 2 (Parent Functions and Translations) >
      • Section 1 - Functions vs. Relations
      • Section 2: Domain and Range
      • Section 3 - Parent Functions and Their Characteristics >
        • Parent Functions and Their Characteristics
        • Parent Function Translations Investigation
        • Write the Equation of the Parent Function Translations
    • Unit 3 - Quadratic Equations >
      • Section 1 - Graph Quadratics in Standard Form
      • Section 2 - Graph Quadratic Functions in Vertex or Intercept Form
      • Section 3 - Solve x^2+bx+c by factoring
      • Section 4 - Solve ax^2 + bx + c by factoring
      • Section 5 - Solve Equations by Finding Square Roots
      • Section 6 - Perform Operations with Complex Numbers
      • Section 7 - Complete the Square
      • Section 8 - Use the Quadratic Formula and the Discriminant
      • Section 9 - Graph and Solve Quadratic Inequalities
      • Section 10 - Writing Quadratic Functions and Models
      • Review Project
    • Unit 5 - Polynomial Functions >
      • Section 1 - Review of Exponents >
        • Section 1B - Powers of Powers
      • Section 2 - Graphs of Polynomial Functions and their Characteristics >
        • Investigate Polynomial Functions in Standard and Factored Form
      • Section 3 - Add, Subtract, and Multiply Polynomials
      • Section 4 - Factor and Solve Polynomial Equations >
        • Activity
      • Section 5 - Dividing Polynomials
      • Section 6 - Find Rational Zeros
      • Section 7 - Apply the Fundamental Theorem of Calculus
      • Section 8 - Analyze Graphs of Polynomial Functions
      • Section 9 - Write Polynomial Functions and Models
      • Review
    • Unit 6 - Rational Exponents & Radical Functions >
      • Section 1 - Evaluate nth roots and Use Rational Exponents
      • Section 2 - Apply Properties of Rational Exponents
      • Section 3 - Perform Function Operations and Compositions
      • Section 4 - Use Inverse Functions >
        • Inverse Functions
      • Section 5 - Graph Square Root and Cube Root Functions
      • Section 6 - Solve Radical Equations
      • Review
    • Unit 7 - Exponential and Logarithmic Functions >
      • Exponential and Log Applications >
        • Dominos
        • The Incredible Shrinking Dollar
        • Futurama
      • Section 1 - Graphing Exponential Functions
      • Section 2 - Graph Exponential Decay Functions
      • Section 3 - Use Functions Involving e
      • Section 4 - Evaluate Logarithms and Graph Logarithmic Functions
      • Section 5 - Apply Properties of Logarithms
      • Section 6 - Solve Exponential and Logarithmic Equations
      • Section 7 - Write and Apply Exponential and Power Functions >
        • Benford's Law
      • Review
    • Unit 8 - Rational Functions >
      • Section 1 - Model Inverse and Joint Variation
      • Section 2 - Graph Simple Rational Functions
      • Section 3 - Graph Rational Functions
      • Section 4 - Multiply and Divide Rational Expressions
      • Section 5 - Add and Subtract Rational Expressions
      • Section 6 - Solve Rational Equations >
        • Section 6 Extension - Solve Rational Inequalities
      • Review
  • Student Resources
    • Study Tips
    • Calculator Help >
      • TI84 Emulator
      • Introduction to the TI-84 Graphing Calculator
      • Updating Your TI-84 OS (Operating System)
      • Dealing with Fractions
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      • Graph a Line
      • Fixing the Window
    • Marking the Text
    • Quick Review
    • ACT Math Prep >
      • Pre-Algebra
      • Elementary Algebra
      • Intermediate Algebra
      • Coordinate Geometry
      • Plane Geometry
      • Trigonometry
      • Act Raw Scores
    • Suggest Your Own 3 Act Math Activity
    • Help!

Geo 1.7 - Properties of Parallel Lines

G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning;
G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;

Guided Notes & Problem Set
Vocabulary:
  • Parallel Lines
  • Skew Lines
  • Parallel Planes
  • Transversal
  • Alternate Interior Angles
  • Same-Side (or Consecutive) Interior Angles
  • Corresponding Angles
  • Alternate Exterior Angles
Parallel Lines Cut By Transversal (Activity )

Use this applet to explore angle relationships from parallel lines cut by a transversal. Move points A, B, and C to change the parallel lines and transversal. 

Answer the questions below on the corresponding worksheet.

1. What do you notice about vertical angles?

2. What do you notice about corresponding angles?

3. What do you notice about alternate interior angles?

4. What do you notice about alternate exterior angles?

5. What do you notice about consecutive interior angles?




Corrective Assignment

PowerPoint
Notes
Interactive Models of Angle Pairs     Example 1    Example 2 
Book Problems:
  • 3.2 p.156 #17-19,20,24,27-33 (Required: #17,19,20,27,28,29,31,35)
  • p.165 #3-8 (Required: #3-8)
  • p.167 #31 (Required: #31)
  • Quiz p.160 #1-5
Dropbox Materials:
  • p.81 #7-16,18,19,24,25 (Required: #10,12,15,16,24)                             

Quiz (10 points)


Applets
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