1. Exploration 1 Worksheet
Daily Warm Up
Exploration 1 Worksheet
Do not start the partner work until given the go ahead

2. Proofs with Parallel Lines Notes 3.3
Goals:
Use the Corresponding Angles Converse
Prove theorems about parallel lines
Use the Transitive Property of Parallel Lines

3. Corresponding Angles Converse
Core Concept
Corresponding Angles Converse
If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.
Given:
So by the corresponding angles converse we can
conclude…

4. Using the Corresponding Angles Converse
Example 1.
Using the Corresponding Angles Converse
Find the value of x that makes

5. Alternate Interior Angles Converse
Core Concept
Alternate Interior Angles Converse
If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel
Given:
So by the alternate interior angles converse we can conclude…

6. Alternate Exterior Angles Converse
Core Concept
Alternate Exterior Angles Converse
If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.
Given:
So by the alternate exterior angles converse we can conclude…

7. Consecutive Interior Angles Converse
Core Concept
Consecutive Interior Angles Converse
If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.
Given: & are supplementary
So by the consecutive interior angles converse we can conclude…

8. Proving Alternate Interior Angles Converse
Example 2.
Proving Alternate Interior Angles Converse
Use the diagram to prove Alternate Interior Angles Converse.
Statements
Reasons

9. Determining whether Lines are Parallel
Example 3.
Determining whether Lines are Parallel
In the diagram, is congruent to Prove
Statements
Reasons

10. Transitive Property of Parallel Lines
Core Concept
Transitive Property of Parallel Lines
If two lines are parallel to the same line, then they are parallel to each other.
Given:
So by the consecutive interior angles converse we can conclude…

11. Example 4. refer to online 3.3 tutorial
Using the Transitive Property of Parallel Lines
The flag of the United States has 13 alternating red white stripes. Each stripe is parallel to the stripe immediately below it. Explain why the top stripe is parallel to the bottom stripe.
Do not have students write down example. Have them write “example 4: refer to online 3.3 tutorial”

12. Practice Extra Practice – In Class Worksheet
Hw #17 part 1– Big Ideas TB
Pg. 142 # 1, 3-8, 10, 11, 13-18, 21-24