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Warm-up

Warm-up. If M is the midpoint, find AM and MB. 25. Geometry Chapter 2. 2.1: Segment Bisectors. Objective: Define segment bisector and use to find lengths of segments. Find midpoints of segments in the coordinate plane.

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Warm-up

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  1. Warm-up • If M is the midpoint, find AM and MB 25

  2. Geometry Chapter 2 2.1: Segment Bisectors Objective: Define segment bisector and use to find lengths of segments. Find midpoints of segments in the coordinate plane.

  3. Midpoint: A point on a segment that divides it into 2 congruent segments • Example F ______ is the midpoint of DF D

  4. Segment Bisector: A segment, ray, line, or plane that intersects a segment at its midpoint • Bisect: To divide a segment into 2 congruent segments. • Example: __________

  5. Practice: • M is the midpoint of the segment. • 1) 2)

  6. Line l bisects the segment. Find the value of x.

  7. Midpoints in the Coordinate Plane • Midpoint Formula: The coordinates of the midpoint of a segment are the ____________ of the _____________ and the ____________ of the endpoints. • If the coordinates of the endpoints are A (x1, y1) and B (x2, y2). Then the midpoint is at:

  8. Example: Find the coordinates of the midpoint of the indicated segment. • AB with A(1,2), B(7,4)

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