Investigating Geometry: Lines

Henrico County Public Schools

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May 2006

Lesson 2-5: Proving Lines Parallel

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Objective:

SOL G.2 a,b: The student will use the relationships between angles formed by two lines cut by a transversal to (a) determine if two lines are parallel; (b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs.

 Applet Directions 1 Close 
  1. In the figure on the left, Segment 1 is parallel to Segment 2.

  2. Drag point T and R to the left side of the vertical line, then determine the relationship between them and ∠S.

  3. Drag point T and R to the right side of the vertical line, then determine the relationship between them and ∠S.

 Applet Directions 2 Close 
  1. What is the geometric reason for these relationships?

  2. Hint: You made need to draw a line to see the reason. Use the Refresh Button of your Browser to see the original sketch.

  Other Web Sites Close 
  1. Discovering Line Properties Three interactive java applets with questions.
  2. Glencoe: On Line Quiz

  Hands-On Activities Close 

 Puzzle & Problems tangram Close 
  1. Construct a parallel line C.a.R.