Geometry, Teacher\'s Edition

• Identify angles formed by two parallel lines and a non- perpendicular transversal.


• Identify and use the Corresponding Angles Postulate.


• Identify and use the Alternate Interior Angles Theorem.


• Identify and use the Alternate Exterior Angles Theorem.


• Identify and use the Consecutive Interior Angles Theorem.

II.Cross-curricular-TubeMapinLondon

• Use the following image from Wikipedia. This is Figure 03.02.01.


• http://www.en.wikipedia.org/wiki/File:Tube_map_thumbnail.png


• Be sure that each student has a copy of the map.


• Students are going to use this map to find an example of each of the postulates/theorems in this lesson.


• 
  
  
  
  1. Corresponding Angles Postulate
  
  
  
  


• 
  
  
  
  2. Alternate Interior Angles Theorem
  
  
  
  


• 
  
  
  
  3. Alternative Exterior Angles Theorem
  
  
  
  


• 
  
  
  
  4. Consecutive Interior Angles Theorem
  
  
  
  


• Students will need to prove that each example in the map is accurate.


• Have them use a protractor to measure and provide a list of statements and proof for each postulate/theorem.


• Then allow time for students to share their work.

III.TechnologyIntegration-TransportationSearch

• Have students use this map of the Tube and compare it with the map of the subway in NYC and the map of
  the “L” in Chicago.


• Compare and contrast each map and the use of angles, parallel lines and transversals.


• Have students write a few concluding statements to describe each in mathematical terms.


• Then allow time for students to share their work.

IV.NotesonAssessment

• Collect student tube maps and statements.


• Did the students justify each theorem/postulate correctly and accurately?


• Did they use angle measures in their justifications?


• Provide students with feedback/correction when needed.

Proving Lines Parallel

I.SectionObjectives

• Identify and use the Converse of the Corresponding Angles Postulate.


• Identify and use the Converse of Alternate Interior Angles Theorem.


• Identify and use the Converse of Alternate Exterior Angles Theorem.


• Identify and use the Converse of Consecutive Interior Angles Theorem.


• Identify and use the Parallel Lines Property.

II.Cross-curricular-WashingtonDC

• Use the following map of the mall in Washington DC.


• This is Figure 03.03.01

3.3. Parallel and Perpendicular Lines