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2.1 Segment Bisectors Goal:

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1 2.1 Segment Bisectors Goal:
Bisect a segment and find the coordinates of the midpoint of a segment.

2 Key Words Midpoint Bisect Segment Bisector
Point on a segment that divides it into two congruent segments. Bisect To divide a segment or angles into two congruent parts. (to cut in two) Segment Bisector A segment, ray line, or plane that intersects a segment at its midpoint.

3 Find Segment Lengths M is the midpoint of AB. Find AM and MB. 26 A M B

4 Find Segment Lengths P is the midpoint of RS. Find PS and RS. R 7 P S

5 Use Algebra with Segment Lengths
Line m is a segment bisector of AB. Find the value of x. m A M B 5X 35

6 The Midpoint Formula The coordinates of the midpoint of a segment are the averages of the x-coordinates and the y-coordinates of the endpoints.

7 Use the Midpoint Formula
Find the coordinates of the midpoint of AB A(1, 2), B(7, 4) A(-2, 3), B(5, -1)

8 Homework 2.1 pg. 56 12-34 Even


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