3.1 parallel lines and transversals ink.notebook. September 26, page 86. page 85. ch 3 Parallel and Perpendicular Lines
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1 3.1 parallel and transversals ink.notebook page 86 page 85 ch 3 Parallel and Perpendicular Lines 3.1 Parallel Lines and Transversals page 87 page 88 Lesson Objectives Standards Lesson Notes 3.1 Parallel Lines and Transversals Press the tabs to view details. 1
2 3.1 parallel and transversals ink.notebook Lesson Objectives Standards Lesson Notes Lesson Objectives Standards Lesson Notes After this lesson, you should be able to successfully identify the different relationships between and planes. 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 and angles. Press the tabs to view details. Press the tabs to view details. Parallel Lines: Lines on the plane that intersect Parallel Planes: Planes that intersect Skew Lines: Perpendicular Lines: Perpendicular Planes: Lines that intersect and are coplanar Lines that intersect at a Planes that intersect at a 2
3 3.1 parallel and transversals ink.notebook Example 1: a. Name a pair of parallel. Example 2: A C B D b. Name a pair of perpendicular. c. Is AB º BC? Explain. B C A E D K J F H G a. line(s) parallel to AF and containing point E b. line(s) skew to AF and containing point E c. line(s) perpendicular to AF and containing point E d) Plane(s) parallel to plane FKJ and containing point E transversal: A line that intersects two or more other at two different points in a plane. 3
4 3.1 parallel and transversals ink.notebook Parallel Interior transversal inside the Parallel Interior inside the 2 bottom 3 4 bottom transversal bottom 7 8 bottom Parallel Interior transversal inside the bottom bottom 7 bottom AT R A E LE NT bottom 4
5 3.1 parallel and transversals ink.notebook Interior inside the bottom bottom 7 bottom AT R A E LE NT transversal bottom Interior s Angles the parallel. Examples: s Angles the parallel. Examples: Corresponding s On side of transversal and in the position. Examples: Interior transversal inside the 8 bottom 7 bottom AT R A E LE NT bottom 3 4 bottom Û2, Û4, Û5, Û7 Alternate Interior s the parallel and on sides of transversal. Examples: Alternate s the parallel and on sides of transversal. Examples: Consecutive Interior s the parallel and on sides of transversal. Examples: 5
6 3.1 parallel and transversals ink.notebook Consecutive (Same-side) Interior Angles Theorem Supplementary Theorem Identify the transversal connecting each pair of angles and 13 Auxiliary Line - Extending a line in a given figure 2. 5 and 14 q p n l 3. 4 and 6 6
7 3.1 parallel and transversals ink.notebook Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. p q 4. 1 and and and n l 7. 3 and 11 Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles and 3 p q 9. 4 and and n l Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. p q and and n l and 14 7
8 3.1 parallel and transversals ink.notebook on the worksheet Example 1: Identify all pairs of (a) corresponding angles, (b) alternate interior angles, (c) alternate exterior angles, and (d) consecutive interior angles. Bookwork a. 1 and, 2 and, 5 and, and. b. 2 and, and c. 5 and, and d. 2 and, and PG 174: # s 13 30, 38 43, 51 53, 55 57, 59,
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Basic Geometry. A.Identify classroom procedures, practices, expectations, and daily agenda. B. Identify, explore, and utilize available resources
Plymouth Regional High School Teacher: MASTER MAP ***** Basic Geometry September What are the essential prerequisite skills necessary for success in Basic Geometry? What are the Geometry topics that can