Warm-up
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Transcript of Warm-up
Warm-up
• If M is the midpoint, find AM and MB
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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.
• Midpoint: A point on a segment that divides it into 2 congruent segments
– Example F
______ is the midpoint of DF
D
• 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:
__________
• Practice: • M is the midpoint of the segment.• 1)
2)
• Line l bisects the segment. Find the value of x.
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:
• Example: Find the coordinates of the midpoint of the indicated segment.
• AB with A(1,2), B(7,4)