1. Module 5

1.25. Page 5

Mathematics 10-3 Module 5 Lesson 5

Module 5: Angles

 

Lesson Summary

 

This photo is of a perspective drawing of a tunnel in blue tones.

© Roman Sigaev/shutterstock

In art, a sense of depth or perspective is created by drawing distant objects smaller. Parallel lines appear to converge. When you look at the picture of a perspective drawing, you have the impression that you are looking through a window. This technique is also used in architectural drawings, so that the client is given a mental image of what the building will look like when it is complete.

 

In this lesson you explored angles arising from this perspective—the intersection of parallel lines.

You have explored these questions:

  • How are parallel and perpendicular lines identified?

  • How can the relationship among angles, formed when a line intersects parallel lines, be used to solve problems?

Check your level of understanding of the materials covered in this lesson by completing “Lesson 5 Traffic Lights.” If you select an amber or red traffic light in the multimedia piece, you will receive information about additional work you can complete to improve your understanding of the topics. Complete the suggested work before you proceed to the Lesson 5 Assignment. If you experience difficulty, contact your teacher before starting the Lesson 5 Assignment.

 

You discovered that when two parallel lines are intersected by a transversal, corresponding angles, alternate interior angles, and alternate exterior angles are congruent. You also discovered that co-interior angles and co-exterior angles are supplementary. As well, if these relationships in a specific instance do not hold, then the lines simply are not parallel.

 

Assignment

 

Retrieve the Lesson 5 Assignment Booklet you saved in your course folder at the start of this lesson. Complete the Assignment. Resave your Assignment Booklet in your course folder and submit a copy to your teacher for assessment.

 

Explore your topic for the Unit 3 Project. Can you see parallel and perpendicular lines? Can you find places where a transversal might cross two parallel lines? Use your imagination and think of all the possibilities. Keep all your work in your course folder to help with the presentation of your Unit 3 Project.