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
Loading resource...

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
2 teachers like this 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
Similar Lessons
Human Conics: Circles and Ellipses
12th Grade Math » Conic Sections
Big Idea: Students collaborate with partners to become a human conic section and draw circles and ellipses using sidewalk chalk.
Phoenix, AZ
Environment: Urban
Tiffany Dawdy
Reasoning About Rigid Motions
Geometry » Congruence and Rigid Motions
Big Idea: Students learn how to use reason as well as experience to understand the result of transforming a figure. Deductive and inductive logic work hand-in-hand!
Ault, CO
Environment: Rural
Tom Chandler
Proving It
Geometry » Line-sanity!
Big Idea: This lesson begins to builds students understanding of proofs using Algebra and Geometry.
Saratoga Springs, NY
Environment: Suburban
Stephanie Conklin
Something went wrong. See details for more info
Nothing to upload