Reflection: Student Ownership Proving that Lines are Parallel - Section 3: Constructing a Parallel Line


There are other methods for constructing a parallel line.  One of these is referred to as the rhombus method by Math Open Reference in the instructions I cited above.  This method is actually easier for many students, I think, but, since this relates to the characteristics of a rhombus, I choose to introduce this method in the Quadrilaterals unit.

I think it's worthwhile to give students time and the opportunity  to play around with constructing a parallel line.  I have seen students construct two pairs of perpendicular lines, and for some this method has made more sense to them.  I have also had students who are more comfortable creating a pair of congruent alternate interior angles.

  More Thoughts on Constructing Parallel Lines
  Student Ownership: More Thoughts on Constructing Parallel Lines
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Proving that Lines are Parallel

Unit 3: Parallel Lines
Lesson 2 of 5

Objective: SWBAT use angle pairs to prove that lines are parallel, and construct a line parallel to a given line.

Big Idea: With an introduction to logic, students will prove the converse of their parallel line theorems, and apply that knowledge to the construction of parallel lines.

  Print Lesson
Math, Geometry, parallel lines, corresponding angles, Similarity and Congruence, Construction, hypothesis, alternate interior angles, same, transversal, Inverse, Converse, Contrapositive, conditional
  90 minutes
image parallel lines 2
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