1. Parallel and Perpendicular Lines
Unit 2
Day 8 and 9

2. Day 8: Warm Up Finish Quest Part 1: Reflection
Describe how you felt you did on the Quest. What concepts did you feel confident about? What concepts did you find difficult? What did you do to feel confident in your understanding? How could you have prepared more?
Part 2: Review Prior Knowledge
What do you remember about angles?
Try to get your group to come up with more than any other group. (names, properties, types, etc)

3. Properties of Parallel and Perpendicular Lines
Objectives
Students will identify the slopes of parallel and perpendicular lines
Students will identify angles formed when two lines are cut by a transversal.
Students will define and use properties of parallel lines cut by a transversal

4. Graphic Organizer Parallel Lines
Parallel Lines - Two lines on a plane that never meet. They are always the same distance apart.
Parallel Lines have the same slope and different y-intercepts.
y = 2x y = -1/3x - 2
y = 2x – y = -1/3x - 5

5. Perpendicular Lines
Perpendicular Lines – A line is said to be perpendicular to another line if the two lines intersect at a right angle.
Perpendicular Lines have the opposite reciprocal slopes!
y = 2x y = -1/3x - 2
y = -1/2x – y = 3x - 5

6. Transversal
Definition: A transversal is a line that intersects two coplanar lines at two distinct points. Highlight the transversal on your Guided Notes

7. Transversal
A transversal forms eight angles. The diagram below shows the eight angles formed by a transversal t and two lines l and m.

8. Special Angles
Pairs of the eight angles have special names as suggested by their positions
Use Graphic Organizer to indicate labels. Don’t talk about congruncey yet
How would you describe the position of angles 1 and 2?...1 and 4?...1 and 7? Name another pair of alt interior angles, ssia, corr

9. More Pairs

10. Identifying Angles
Alternative Angles: Same-Side Angles: Corresponding Angles:

11. Vertical Angles
A pair of nonadjacent angles formed by two intersecting lines.
Which Angles are Vertical?
What can we say about vertical angles?
Vertical Angles Theorem: Vertical Angles are ≅ 1 2 3 4 2 1 3 4

12. Two angles whose measures have a sum of

13. two angles whose measures have a sum ofD C

14. Homework
Identify each of the angle types