Geometry
2.1 Worksheet-Dividing Segments
Name __________________________________
̅̅̅̅ to the right,
4. Given 𝐴𝐵
A
_____a) how many midpoints does it have?
B
_____b) how many bisectors does it have?
M is the midpoint of each segment. Find each specified length.
5.
6.
PM=_______ MQ=_______
TM=_______ MS=_______
Line l bisects the given segments. Find each specified length.
7.
8.
AN=_______ AB=_______
FG=_______ EG=_______
9. The four pictures at the right show four segment
bisectors. Circle each bisector in each picture.
1.5
3
3
1.5
M is the midpoint of each segment. Set up an equation to find x and then find the specified lengths.
10.
11.
x=_______ EM=_______ MF=_______
12.
x=_______ JM=_______ MK=_______
13.
x=_______ LM=_______ MN=_______
x=_______ AM=_______ MC=_______
Line l bisects each segment. Set up an equation to find x and then find the specified lengths.
14.
15.
T
x=_______ JT=_______ JK=_______
T
x=_______ TW=_______ XW=_______
16. You are planting flowers in a border that is 11 feet long. If you want to plant a large rosebush halfway along the border,
how far is the bush from the ends of the border?
Draw a diagram for each.
̅̅̅̅. PM = 6x + 7 and MQ = 9x – 8, find x and then PQ.
17. M is the midpoint of 𝑃𝑄
̅̅̅̅. PM = 9x + 3 and MQ = 11x – 17, find x and then PQ.
18. M is the midpoint of 𝑃𝑄
̅̅̅̅ at C. If AC = 8x – 3 and CB = 4x + 57, find x.
19. ̅̅̅̅
𝐷𝐸 bisects 𝐴𝐵
Use the midpoint formula to find the coordinate of the midpoint for each segment.
8.
Midpoint:
9.
(
,
)
11.
Midpoint:
Midpoint:
10.
(
,
)
12.
(
,
)
Midpoint:
Midpoint:
(
,
)
,
)
13.
(
,
)
Midpoint:
(