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Bellwork

Bellwork. Please find a seat and wait for your problem to find your assigned seat. Triangle Sum Theorem! Once you have found your seat, grab a compass and a straight edge. Objective. Students will learn to create an angle bisector using a compass and a straight edge. Review on Bisectors!.

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Bellwork

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  1. Bellwork Please find a seat and wait for your problem to find your assigned seat. Triangle Sum Theorem! Once you have found your seat, grab a compass and a straight edge.

  2. Objective • Students will learn to create an angle bisector using a compass and a straight edge.

  3. Review on Bisectors! • What is an angle bisector? • An angle bisector is a ray that divides an angle into two congruent angles. K L N LN bisects KLM. KLN = NLM M

  4. Where might you see angle bisectors? Where else might you find angle bisectors?

  5. Can we find the missing variable? 4x+10 12x+4 4x+10=12x+4 10=8x+4 6=8x 6/8=8 or ¾=x

  6. Your Turn! 2x+10 x+4 X= -6

  7. Theorems • Perpendicular Bisector Theorem • If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. • Converse of Perpendicular Bisector Theorem • If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

  8. Theorems • Angle Bisector Theorem • If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. • Converse of Angle Bisector Theorem • If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the angle bisector.

  9. Now lets learn how to create one. • http://www.youtube.com/watch?v=2dhB6HHLBGM

  10. Try one • On a piece of paper draw an angle bisector • Show all arcs needed to create the angle bisector • Steps: • 1 Draw an angle with a straight edge. • 2 From the vertex, create 2 arcs ( the same distance from the vertex) on the angle. • 3 From those Arcs, draw 2 arcs in the center of the angle. • 4 Draw your angle bisector

  11. Activity • Work in Pairs • Fold a blank sheet of paper from corner to corner. • Using those angles formed, create angle bisectors. • Label your bisectors and all of your points including the vertex point. • Show all arcs needed to create your bisectors. • You must have at least 10 bisectors. • Color in your design.

  12. Homework • Rewrite the 4 theorems and give an example of each • Create an angle bisector with correct labeling and appropriate arc marks. (10 points total) (can get 1 extra credit!) Homework Rubric Theorem 1- Written with appropriate example= 2 points, only written or only example=1point Theorem 2- Written with appropriate example= 2 points, only written or only example=1point Theorem 3- Written with appropriate example= 2 points, only written or only example=1point Theorem 4 -Written with appropriate example= 2 points, only written or only example=1point Angle Bisector Drawing- Angle draw with all arc marks and labels=3 points 2 of the 3 above = 2 points 1 of the above = 0 points

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