Parallel Lines Relationships

Farr Quinn, Nov 30, 2017


  • 1. Corresponding Angles: Quick Investigation
  • 2. Exploring Corresponding Angles (V2)
  • 3. Vertical Angles Exploration (2)
  • 4. Alternate Interior Angles: Quick Investigation
  • 5. Alternate Interior Angles Theorem (V1)
  • 6. Alternate Exterior Angles: Quick Investigation
  • 7. Alternate Exterior Angles Theorem (V1)
  • 8. Supplementary Angles (Quick Exploration)
  • 9. Same Side Interior Angles Theorem
  • 10. Exploring Same Side Exterior Angles
  • 11. Solution to Parallel Lines & Angles Problem
  • 12. Transversal Intersects Parallel Lines
  • 13. Naming Angle Positions
  • 14. Parallel Lines & Related Angles

1.

Corresponding Angles: Quick Investigation

In the applet below, transversal [i]n[/i] intersects the lines [i]g[/i] and [i]i[/i]. [br][br]Interact with the applet below for a few minutes. [br]Then answer the questions that follow.
1.
Use the [b]Slope[/b] tool to measure the slopes of the two lines [i]g[/i] and [i]i[/i]. What do you notice?
2.
What does your observation from (1) tell you about lines [i]g[/i] and [i]i[/i]?
3.
If you haven't done so yet, drag the white point along transversal [i]n[/i] as far as it will go. [color=#9900ff][b]What geometric transformation is taking place?[/b][/color]
4.
If a transversal (in this case, [i]n[/i]) intersects 2 lines that have the property that you wrote in response to (2) above, what can you conclude about the pair of [color=#ff7700][b]orange corresponding angles [/b][/color]that were formed?
– Tim Brzezinski

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