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Prove and apply theorems about perpendicular bisectors.

Objectives. Prove and apply theorems about perpendicular bisectors. Prove and apply theorems about angle bisectors. Vocabulary. equidistant locus. When a point is the same distance from two or more

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Prove and apply theorems about perpendicular bisectors.

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  1. Objectives Prove and apply theorems about perpendicular bisectors. Prove and apply theorems about angle bisectors.

  2. Vocabulary equidistant locus

  3. When a point is the same distance from two or more objects, the point is said to be ____________from the objects. Triangle congruence theorems can be used to prove theorems about equidistant points.

  4. A ________ is a set of points that satisfies a given condition. The perpendicular bisector of a segment can be defined as the locus of points in a plane that are equidistant from the endpoints of the segment.

  5. Example 1A: Applying the Perpendicular Bisector Theorem and Its Converse Find each measure. MN

  6. Example 1B: Applying the Perpendicular Bisector Theorem and Its Converse Find each measure. BC

  7. Example 1C: Applying the Perpendicular Bisector Theorem and Its Converse Find each measure. TU

  8. Remember that the distance between a point and a line is the length of the perpendicular segment from the point to the line.

  9. Example 2A: Applying the Angle Bisector Theorem Find the measure. BC

  10. Example 2B: Applying the Angle Bisector Theorem Find the measure. mEFH, given that mEFG = 50°.

  11. Example 2C: Applying the Angle Bisector Theorem Find mMKL.

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