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Contents Lesson 3-1Parallel Lines and Transversals Lesson 3-2Angles and Parallel Lines Lesson 3-3Slopes of Lines Lesson 3-4Equations of Lines Lesson 3-5Proving Lines Parallel Lesson 3-6Perpendiculars and Distance

Lesson 1 Contents Example 2Identify Transversals Example 3Identify Angle Relationships OBJECTIVE: To name angles formed to a par of lines and a transversal (2.9.8E) (M8.C.1.1.3)

KEY CONCEPTS A transversal is a line That intersects two or more lines in a plane at different points.

Transversals and Angles Exterior angles  1,  2,  7,  8 Transversal t intersects lines l and m. Interior angles  3,  4,  5,  6 Cons. Int. angles  4+  5,  3+  6 Alt. Ext. Angles  1+  7,  2+  8 Alt. Int. Angles  4+  6,  3+  5 Corresponding Angles  1+  5,  2+  6,  4+  8,  3+  7

Example 1-2a BUS STATION Some of a bus station’s driveways are shown. Identify the sets of lines to which line v is a transversal. Answer: If the lines are extended, line v intersects lines u, w, x, and z.

Example 1-2b BUS STATION Some of a bus station’s driveways are shown. Identify the sets of lines to which line y is a transversal. Answer: lines u, w, x, z

Example 1-2c BUS STATION Some of a bus station’s driveways are shown. Identify the sets of lines to which line u is a transversal. Answer: lines v, x, y, z

Example 1-2d BUS STATION Some of a bus station’s driveways are shown. Identify the sets of lines to which line w is a transversal. Answer: lines v, x, y, z

Example 1-2e HIKING A group of nature trails is shown. Identify the sets of lines to which each given line is a transversal. Answer: lines c, d, e, f Answer: lines a, b, d, e, f a. line a b. line b c. line c d. line d Answer: lines a, b, c, e, f

Example 1-3a Answer: corresponding Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Example 1-3b Answer: alternate exterior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Example 1-3c Answer: corresponding Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Example 1-3d Answer: alternate exterior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Example 1-3e Answer: alternate interior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Example 1-3f Answer: consecutive interior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Example 1-3g Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: consecutive interior Answer: corresponding Answer: alternate exterior a. b. c.

Example 1-3g Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate interior Answer: corresponding Answer: alternate exterior d. e. f.

Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. 1.  10+   4+  7 3.  11+   10+  14 Alt. Interior Angles Consecutive Int.  s Alt. Exterior Angles Corresponding Angles

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