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5.1 Perpendicular Bisector

5.1 Perpendicular Bisector. Equidistant. Definition of a Perpendicular Bisector. A Perpendicular Bisector is a ray, line, segment or even a plane that is perpendicular to a segment at its midpoint. AM = MB. Theorem about the perpendicular bisector.

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5.1 Perpendicular Bisector

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  1. 5.1 Perpendicular Bisector Equidistant

  2. Definition of a Perpendicular Bisector A Perpendicular Bisector is a ray, line, segment or even a plane that is perpendicular to a segment at its midpoint. AM = MB

  3. Theorem about the perpendicular bisector If a point is on the perpendicular bisector of a segment, then it is an equal distance from the end points of the segment. EA = EB FA = FB GA = GB HA = HB

  4. Converse If a point is an equal distance from the endpoints of a segment, then its on the perpendicular bisector.

  5. Converse Is point T on line OP ? Why

  6. Angle Bisector Theorem If a point is on the angle bisector, then it is an equal distance from the sides.

  7. Converse of the Angle Bisector Theorem If a point is in the interior of an angle and it is an equal distance from the sides, then it is on the angle bisector.

  8. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS #6. C.P.C.T.

  9. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS #6. C.P.C.T.

  10. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS #6. C.P.C.T.

  11. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS #6. C.P.C.T.

  12. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS #6. C.P.C.T.

  13. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS #6. C.P.C.T.

  14. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS#6. C.P.C.T.

  15. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS#6. C.P.C.T.

  16. Lets Prove it #1. R is on the bisector of #1. Given #2. #2. All Right #3. #3. Reflexive #4. #4. Def of bisector #5. #5. AAS #6. C.P.C.T.

  17. Homework Page 268 – 269 # 8, 10, 11, 12, 16, 17, 20, 21 – 26, 28, 30, 32

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