Bellwork 1. Classify the angle pair, then solve for x.

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Presentation transcript:

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

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 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

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