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Warm-upWarm-up
1. 3x = 8x – 15
0 = 5x – 15
15 = 5x
x = 3
2. 6x + 3 = 8x – 14
3 = 2x – 14
17 = 2x
x = 8.5
3. 5x – 2 = 3x + 6
2x – 2 = 6
2x = 8
x = 4
AB = 2AM
AB = 2(5x – 2)
AB = 2(5*4 – 2) = 2(18)
AB = 36
5.2: Use Perpendicular Bisectors5.2: Use Perpendicular Bisectors
A line segment (or line or ray) is a perpendicular bisector iff it is perpendicular to another segment at its midpoint
equidistant
CB
AB
4x 7x - 6
2
4x 4(2) 8
Check Points #1 and 2Check Points #1 and 2
Work these out now!Work these out now!
2x = 5x – 6
0 = 3x – 6
6 = 3x
x = 2
AB = 4
3x + 8 = 7x – 16
8 = 4x – 16
24 = 4x
x = 6
AB = 26
6x + 11 = 11x – 9
11 = 5x – 9
20 = 5x
x = 4
AB = 35
Homework Homework Pg 306/1-17