1. Bellwork
1. Solve for x.
2. Construct a line perpendicular to line s that passes through H. H

2. Lesson 3-3 & 3-4: Parallel & Perpendicular Line Proofs
Rigor – Prove lines are parallel or perpendicular; determine the value of x that will make lines parallel
Relevance – logical thinking, construction

3. Recap: Theorems vs Converses
The angle pair THEOREMS:
Given - lines are parallel
Conclusion – angle pairs are or supplementary
Angle pair CONVERSES:
Given - angle pairs are or supplementary
Conclusion – lines are parallel

4. Example 1: Which lines are parallel? Justify your answer.

5. Example 2: Applying the Converse
What value of x would make the lines parallel?
a) b)

6. Example 3: Rowing Application

7. Theorems to know:
Perpendicular Transversal Theorem If a transversal is perpendicular to of 2 parallel lines, then it is perpendicular to the other line.
Corollary to the Corresponding Angles Converse – If 2 coplanar lines are perpendicular to the same line, then they are parallel to each other.

8. Theorems to know continued:

9. Example 4

10. Distance from a Point to a Line

11. Proof of the ⊥ Transversal Theorem
Reasons
________________
Definition of congruent
_________________

12. Example 5: Proof
Reasons
________________
Given
_________________

13. 3-3 and 3-4 Classwork: Heading: 3-3 &3-4 CW from the textbook
Page 166 – 167 #10, 11, 23, 27 – 32
Page 176 #9, 12 – 14, 16 – 22
Whatever you don’t finish in class is homework.
Due Monday for periods 1, 3, 5, & 7
Due Tuesday for periods 2 & 4