2'1 Segment Bisectors 10908

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2.1 Segment Bisectors 10/9/08

• Midpoint the point on the segment that divides
  a segment into two congruent segments.
• Segment Bisector a segment, ray, line, or plane
  that intersects a segment at its midpoint.
• To bisect a segment means to divide the segment
  into two congruent segments.

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Segment Bisector

• In the following diagrams
• M is the midpoint of AB.
• CD is the bisector of AB.

B
A
M
C
B
A
M
D
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Find Segment Lengths

• M is the midpoint of AC. Find AM and MC.
• Solution M is the midpoint of AC, so AM and MC
  are each half the length of AC.
• AM MC AC / 2 26 / 2 13.
• AM 13, MC 13

26
C
A
M
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Find Segment Lengths

• P is the midpoint of RS. Find PS and RS.
• P is the midpoint of RS, so PS RP.
• Therefore, PS 7.
• RS 2 7 14.
• PS 7, RS 14

S
R
P
7
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Use Algebra with Segment Lengths

• Line l is a segment bisector of AB. Find the
  value of x.
• AM MC
• 5x 35
• x 7

l
C
A
M
5x
35
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More Practice!!!!

• Textbook p. 56 - 57 2 6 even, 12, 14, 16
  22 even, 26, 28.