Types of Lines
While parallel and perpendicular lines will be the primary focus of this chapter, there are other types of lines. Use the Types of Lines Foldable to distinguish between them.
Types of Angles
When two lines are cut by a transversal, there are special names for the angles formed by the transversal and the lines. Use the Angles Formed by Transversal Foldable to master the vocabulary.
Parallel Lines and Transversals
Exploring Parallel Lines and a Transversal
Have students use Geogebra to construct two parallel lines and a traversal. They then identify and measure corresponding, alternate interior, alternate exterior, and consecutive interior angles and make conjectures.
Use the Geogebra activity below to explore the relationships between the special angles above when the lines that are cut by the transversal are parallel.
Proving Lines are Parallel
Proofs with Perpendicular Lines
The Geogebra activity below helps underscore the fact that the distance from a point to a line is the length of the perpendicular segment from the point to the line.
In class examples Proofs with Perpendicular Lines Lesson 3-4notes
Equations of Parallel and Perpendicular Lines
Exploring Parallel and Perpendicular Lines Geogebra Activity will be used to learn how the slopes of parallel and perpendicular lines are related.
Exploring Parallel and Perpendicular Lines Pencil Paper Activity will be used to learn how the slopes of parallel and perpendicular lines are related for those who don’t want to use technology.
The All About Slope Foldable can help you calculate slope given two points, find an equation in slope y-intercept form, use point slope form to find equations, and includes the relationships between parallel and perpendicular lines and their slopes.
When the inside is complete it will look similar to this.
A shout out to Mr. Fjelstrom for his Mr. Slope inspiration.