This pdf includes the following topics:- Properties of parallel lines and transversals Using properties of parallel lines in proofs
1. Opportunity is Today: missed by most •Homework people because it is Check dressed in overalls •3.2 Check Up and looks like work. •Practice Thomas Edison
2. Opportunity is Assignment: • 3.1-3.2 p. 197 #1- missed by most 14 people because it is dressed in overalls and looks like work. Thomas Edison
3. 3.1 Check Up Identify the vocabulary term for each pair of angles represented in the picture. 1. 3 and 6 2. 1 and 8 3. 2 and 6 4. 1 and 6 5. 3 and 5
4. You named angle pairs formed by parallel lines and transversals. • Use theorems to determine the relationships between specific pairs of angles. • Use algebra to find angle measurements.
5. Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.9 Prove theorems about lines and angles. Mathematical Practices 1 Make sense of problems and persevere in solving 3 Construct viable arguments and critique the reasoning of others.
6. 3.2 Angles and Parallel Lines 1.Properties of parallel lines and transversals 2.Using properties of parallel lines in proofs parallel, transversal, corresponding, alternate interior, alternate exterior, consecutive interior
7. 3.2 Angles and Parallel Lines If 2 parallel lines are cut by a transversal,angles corresponding then: are congruent. alternate interior angles are congruent. alternate exterior angles are congruent. alternate exterior consecutive interior angles are supplementary. consecutive interior angles 12 4 3 5 6 8 7
8. 3.3 Parallel Lines and Transversals If l1|| l2, find x. l1 2x + 4 What type of l2 angles do you have? 110 x = 53
9. If l1|| l2, find x and y. l1 y + 20 x = 105 x l2 y = 85 75
10. 3.3 Parallel Lines and Transversals How many angles in the diagram have a measure of 100o? 100o
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