1. Construction Angle Bisectors and Parallel Lines Angle Bisector Parallel lines and properties

2. Terms Angle Bisector Cuts an angle into 2 congruent angles Parallel lines Lines that never intersect, same slope Corresponding, Alternate interior, Alternate Exterior, Same Side Interior

3. Process 1.Place pointy end of compass on vertex of angle 2.Swing an arc so that it crosses both sides of the angle 3.From intersections of arc and sides swing arc in the center of angle, arcs should be long enough to intersect 4.Connect intersection and vertex

4. Angle Bisector Conjecture If a point is on the bisector of an angle then it is equidistant from the sides of the angle

5. Angle Bisector Investigation pg 160

6. Parallel lines Remember the properties of parallel lines, what angles are congruent and how can we use constructions to help us

7. Multi Steps Constructing a line parallel to another line through a point 1.Draw a transversal through point and line 2.Copy angle made with transversal and line 3.Copy this angle as either C, AI or AE depending on what angle you are using 4.This angle will make a parallel line

8. Practice Try constructing parallel lines with 1. Corresponding angles 2. Alternate Interior Angles 3. Alternate Exterior Angles 4. Perpendicular Lines

9. Homework Pg 160 1-5, 9 and 12 Pg 164 1,2,4,5