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Geometry Sample Lesson 3-2

Lesson 3-2 Properties of Parallel Lines

by Susan O. Johnsey for her Geometry class. Textbook required is Geometry by Jurgensen, Brown, Jurgensen.

Find Lesson 3-2 in your textbook. Add these to your Geometry Collection (notebook) :

 

Postulate 10 and the 3 theorems that are stated in your textbook..
 
 Be sure to include the red writing and the diagrams.
 

I hope that you are printing these lessons.   

 

NOTE that all 4 of these  (Postulate 10 and the 3 theorems) 
begin with a transversal (that is just a line!!) intersecting two or more parallel lines.  
 
 

Any time you are GIVEN a line intersecting parallel lines then think of these 4 items in your Geometry Collection. 

 

You will use these in proving theorems about angles created by parallel lines.

 

THEOREM 3-2 


POSTULATE 10



THEOREM 3-3    AND THEOREM 3-4

Watch this video.   Remember you can pause it and rewind it.   Please do so that you understand it well.   We will be combining algebra and geometry.


Read pages 78 and 79 but you may omit example 1 on page 79.

 

Answer the 8 problems below and then go to QUIA and take the quiz for Lesson3-2.     You will need your log in  and password for QUIA.  I hope you have it.     
State the postulate or theorem from this lesson that justifies each statement, 
  but warning there is one answer from another chapter and one tricky answer on the quiz!!
 

   Note the lines j and k are parallel.

 

I forgot to draw the little arrowheads on the lines j and k to show you they are parallel. 

 Hope you can imagine them being there.

  1. angle 3 congruent to angle 7.
  2. measure angle 6 + measure angle 7 = 180.
  3. angle 4 congruent angle 6
  4. measure angle 5 = measure angle 7
  5. line a is perpendicular to line k.
  6. angle 6 congruent angle 8
  7. angle 1 congruent angle 2
  8. angle 5 is supplementary to angle 8.
Do you have these above completed?  go to QUIA and take the quiz for Lesson3-2.     You will need your log in  and password for   
 
Now do the Written Exercises 1 to 19 odd and check them.
 
Do Assignment 3-2 only after you have sent me the score for the above quiz at QUIA.
 
 

Read bottom half of page 74 again in your book and make a special note about exterior angles.   Then decide what you think would be the alternate exterior angles for the diagram.  

 

The alternate exterior angles are angle 1 and angle 8.    And the other pair are angle 2 and angle 7.    I hope you are looking at the diagram at the bottom of page 74.

 

Do Assignment 3-2B.  This assignment will send you to another site.  You must answer their questions; write your answers down in your notebook.   Then go to the submit Assignment page and type them into the box.

 

You may visit this site for a little more practice with the angles intersecting parallel lines:

http://www.math.com/school/subject3/practice/S3U1L5/S3U1L5Pract.html

It is a good site but they do have annoying pop-ups.

 

 
   
Susan O. Johnsey
State Certified teacher
Master of Science degree in Mathematics

www.mathinabox.com


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