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Geometry: Parallel Lines & Related Angles
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1. Transversal Intersects Parallel Lines: Scenarios
- Transversal Intersects Parallel Lines
- Exploring Corresponding Angles (V2)
- Alternate Interior Angles Theorem (V1)
- Alternate Exterior Angles Theorem (V1)
- Same Side Interior Angles Theorem
- Exploring Same Side Exterior Angles
- Exploring Alternate Interior Angles (V2)
- Alternate Interior Angles Theorem (V3)
- Exploring Alternate Exterior Angles (V2)
- Alternate Exterior Angles Theorem (V3)
- Solution to Parallel Lines & Angles Problem
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2. Angle Position Names When Transversal Intersects Lines
- Naming Angle Positions
- Parallel Lines & Related Angles
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Geometry: Parallel Lines & Related Angles
Tim Brzezinski, charles nowariak, Sep 29, 2016
Table of Contents
- Transversal Intersects Parallel Lines: Scenarios
- Transversal Intersects Parallel Lines
- Exploring Corresponding Angles (V2)
- Alternate Interior Angles Theorem (V1)
- Alternate Exterior Angles Theorem (V1)
- Same Side Interior Angles Theorem
- Exploring Same Side Exterior Angles
- Exploring Alternate Interior Angles (V2)
- Alternate Interior Angles Theorem (V3)
- Exploring Alternate Exterior Angles (V2)
- Alternate Exterior Angles Theorem (V3)
- Solution to Parallel Lines & Angles Problem
- Angle Position Names When Transversal Intersects Lines
- Naming Angle Positions
- Parallel Lines & Related Angles
Transversal Intersects Parallel Lines: Scenarios
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1. Transversal Intersects Parallel Lines
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2. Exploring Corresponding Angles (V2)
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3. Alternate Interior Angles Theorem (V1)
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4. Alternate Exterior Angles Theorem (V1)
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5. Same Side Interior Angles Theorem
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6. Exploring Same Side Exterior Angles
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7. Exploring Alternate Interior Angles (V2)
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8. Alternate Interior Angles Theorem (V3)
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9. Exploring Alternate Exterior Angles (V2)
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10. Alternate Exterior Angles Theorem (V3)
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11. Solution to Parallel Lines & Angles Problem
Transversal Intersects Parallel Lines
Students:
Use the GeoGebra applet above to help you complete the Transversals, Lines, & Related Angles investigation given to you at the beginning of class.
Naming Angle Positions
Definition: A transversal is a line that intersects 2 other lines at 2 distinct points.
In the applet, the dashed line below is a transversal. (Actually, each of the three lines displayed below is a transversal.)
When a transversal intersects 2 other lines, special names are given to certain pairs of angles.
These angle pairs are called corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior angles.
Explore these angle pairs within the applet below. Then, answer the questions that follow.
Questions:
1) What does the term "same-side" mean in the phrases "same-side interior angles" and "same-side exterior angles"?
2) What does the term "alternate" mean in the phrases "alternate interior angles" and "alternate exterior angles"?
3) Which of the four displayed angles would be considered "interior" angles? Why is this?
4) Which of the four displayed angles would be considered "exterior" angles? Why is this?
5) How would you describe, in your own words, what it means for a pair of angles to be described as "corresponding angles"?
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