Segment Bisectors

Segment Bisectors - Transcript

Midpoint the point on the segment that divides a segment into two congruent segments

2 1 Segment Bisectors 10 9 08

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

In the following diagrams M is the midpoint of AB
A M

Segment Bisector

B

CD is the bisector of AB
C A D M B

Find Segment Lengths
M is the midpoint of AC Find AM and MC
26 A M C

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

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



P is the midpoint of RS so PS RP Therefore PS 7 RS 2 7 14 PS 7 RS 14

Line is a segment bisector of AB Find the value of x

Use Algebra with Segment Lengths

A

5x

M

35

C

AM MC 5x 35 x 7

More Practice
Textbook p 56 57 2 6 even 12 14 16 22 even 26 28