Bellwork Classify the angle pair, then solve for x.

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

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

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

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

Theorems to know: Perpendicular Transversal Theorem If a transversal is perpendicular to 1 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.

Theorems to know continued:  

Example 3  

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

3-3 and 3-4 Assignments Primary Assignment: join.quizizz.com Codes: Period 1: 367756 (due Thurs) Period 5: 792397 (due Thurs) Period 6: 987931 (due Fri) Secondary Assignment: 3.3 – 3.4 Worksheet online

3-3 and 3-4 Assignments Primary Assignment: join.quizizz.com Period 2: Codes: Period 2: Period 4: Period 7: Secondary Assignment: 3.3 – 3.4 Worksheet online