Let's review segment bisector first. A segment bisector is a line that splits a segment in half. Final answers are at the bottom.
Excercise 1:
The Segment bisector is Line d. Because one half of segment AB is 15, the other half must also be 15.
15 + 15 = 30
Segment AB = 30 units
Excercise 2:
Applying the same principle, The segment bisector is Line l and the length of segment AB is 11.
Excercise 3:
This one is just a bit different. The segment bisector is Line R, but we dont have a length of one side yet. However, because we know that both sides of the segment are the same length, we can deduce that:
x + 12 = 8x - 2
12 = 7x - 2
14 = 7x
x = 2
Now lets plug in 2 for x in one equation:
x + 12
2+12
14
Because one side is 14, so is the other side of the segment.
14 + 14 = 28
Line AB = 28 units.
Excercise 4:
Following the same principle as the last example, we can deduce that the Segment bisector of ST is Point M, x = 5 and ST = 26
FINAL ANSWERS:
Example 1:
Segment Bisector: Line D
Length of AB: 30 units
Example 2:
Segment Bisector: Line L
Length of AB: 11 units
Example 3:
Segment Bisector: Line R
Length of AB: 28 units
Example 4:
Segment Bisector: Point M
Length of AB: 26 units