1. Bellwork 1. Classify the angle pair, then solve for x.
2. Construct a line perpendicular to line s that passes through H. s H

2. Lesson 3-3 & 3-4: Parallel & Perpendicular Line Theorems
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. 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.

7. Theorems to know continued:

8. Example 3

9. Proof of the ⊥ Transversal Theorem
Reasons
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Definition of congruent
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10. 3-3 and 3-4 Assignment Worksheet
Whatever you don’t finish in class is homework.
Due Tuesday 11/1 for periods 2, 4, & 6
Due Thursday 11/3 for periods 1, 5, & 7