1. SECTION 3.5 Showing Lines are Parallel
LEARNING TARGETS:
Students will be able to write the converse of if- then statements.
Students will be able to determine if lines are parallel.
VOCABULARY
Converse
Hypothesis
Conclusion

2. QUESTION TO PONDER:

3. Vocabulary
CONVERSE:
The converse of an “if-then” statement is an if-then statement where the hypothesis and conclusion are switched around.
The statement is formed by switching
the hypothesis and the conclusion
The converse of an “if-then” statement may be true or false.

4. Example (Notes)

5. Example (Textbook)

6. So… Today we will…
Study the converses of all of the angle pairs postulates and theorems.
Today we will use angle pairs to determine if lines are parallel.

7. Vocabulary: CORRESPONDING ANGLES CONVERSE:
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.

8. Vocabulary: ALTERNATE INTERIOR ANGLES CONVERSE:
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.

9. Vocabulary: ALTERNATE EXTERIOR ANGLES CONVERSE:
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

10. Vocabulary: SAME-SIDE INTERIOR ANGLES CONVERSE:
If two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel.

11. Example (Notes)

12. Example (Notes)

13. Example (Notes)

14. Example (Notes)

15. Example (Notes)

16. Daily Puzzler

17. Guided Practice:
Section 3.5 Online Quiz
Click Here!

18. HOMEWORK: Page 139, #3-5, 6-14 EVEN, 16- 29, 31-33
Section 3.5 Assignment
Page 139, #3-5, 6-14 EVEN, , 31-33
Due Tuesday, 11/15