Introduction
When working in construction, there are times when the materials need to be parallel. Think about what tools a construction worker would use to be sure the materials are parallel.
Think about the last lesson and the angle relationships that are formed when lines are parallel. Can you list the angle relationships from memory? Explore the interactive links to decide if the lines are parallel given the angle measurements.
Following successful completion of this lesson, students will be able to...
- Determine if lines are parallel given the measure of two angles
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: 30, 31, and 31a.