1. Lesson 7

Module 2: Lesson 7

Module 2: Logic and Geometry

 

Lesson 7: Proving Conjectures About Angles Formed by Parallel Lines

 
This is a photo of a bridge under construction.

Hemera/Thinkstock

Focus
 

Understanding the properties of angles formed by parallel lines and a transversal is important in architecture, engineering, and design. Architects, engineers, and designers use the properties of angles when they are planning projects and evaluating designs. They have to determine what properties are provable and apply those to their designs.

 

This is a photo of a dock that is falling apart with a warning sign attached to the end of it.

iStockphoto/Thinkstock

The success of a design, not to mention the professional reputation of an engineer or an architect, is based on the expert’s understanding of the properties and his or her ability to apply them correctly. For instance, no one wants to cross a bridge or stand under the roof of a building that someone thinks “might hold” or that has supports that are “hopefully” are at the right angles.

 

This lesson will help you answer the following inquiry question:

  • How can you prove the properties of angles formed by parallel lines and a transversal?
Assessment

All assessment items you encounter need to be placed in your course folder.

 

course folder

Save a copy of the Lesson 7 Assignment to your course folder. You will receive more information about how to complete the assignment later in this lesson.

 

Materials and Equipment
  • ruler or straightedge
  • protractor (You may find it helpful to use Virtual Tools.)

     
    This is a screenshot for Virtual Tools.