Introduction

Recall that city roads are great examples of lines that are cut by a transversal.

a city map

In this lesson you will take the angle relationships and place the buildings and red lights in the correct place. You may need to review how to take a screen shot to submit your work.

Lesson Objectives

Following successful completion of this lesson, students will be able to...

  • Apply angle relationships in a real-world situation

Essential Questions

  • How can I prove that two lines are parallel or perpendicular using angle measurements?
  • How can I use theorems and postulates about lines and angles to solve problems?

Enduring Understandings

  • Perpendicular lines can be proven by the relationship of their slopes.
  • If we know the measure of one angle formed when a pair of parallel lines is cut by a transversal, then we can find the measures of the other angles.
  • You can use the measures of angles to prove that lines are parallel.
  • If we know the measure of one angle formed when a pair of parallel lines is cut by a transversal, then we can find the measures of the other angles.
  • You can use theorems and postulates about lines and angles to find unkonwn measurements.

The above objectives correspond with the Alabama Course of Study: Geometry with Data Analysis standards: 31a.