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Construction Angle Bisectors and Parallel Lines

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Presentation on theme: "Construction Angle Bisectors and Parallel Lines"— Presentation transcript:

1 Construction Angle Bisectors and Parallel Lines
Objective: Students will be able to construct angle bisectors and parallel lines using the construction techniques and properties that they have learned.

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 Angle Bisector Investigation pg 160

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

5 Angle Bisector Conjecture
If a point is on the bisector of an angle then it is equidistant, perpendicular, from the sides of the angle If a point is equidistant from the sides of an angle it is on the angle bisector

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 Draw a transversal through point and line Copy angle made with transversal and line Copy this angle as either C, AI or AE depending on what angle you are using 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 Objective: Students will be able to construct angle bisectors and parallel lines using the construction techniques and properties that they have learned. On a scale of 1 to 4 Do you feel we meet the objective for the day. If we did not meet the objective, what did we miss and how could I improve.

10 Homework Pg , 9 and 12 Pg 164 1,2,4,5


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