Geometry Worksheet
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1Ms. Menard
Name: __________________
Geometry
Segment Addition
Write the Segment Addition Postulate for the points described.
1. S is between D and P
2. J is between S and H
If DS = 4 and SP = 5, then DP = ____.
If SJ = 5 and SH = 12, then JH = ____
3. C is between Q and R
4. T is between M and N
If QC = 2x, RC = 3x, and QR = 15,
If NT = x + 5, MN = 3x, and MT = 7,
what is x? ___________
what is MN? __________
In the diagram of collinear points, GK = 24, HJ = 10, and GH = HI = IJ.
Find each length.
5. HI __________
6. IJ ___________
7. GH _______________
8. JK __________
9. IG ___________
10. IK ________________
Find QR in the following problems.
11. If RS = 44.6 and SQ = 68.4, find QR.
12. If RS = 33.4 and SQ = 80, find QR.
In the following problems, suppose J is between H and K.
! Use the Segment Addition Postulate to solve for x.
! Then find the length of each segment.
13. HJ = 5x
14. HJ = 2x + 5
15. HJ = 6x - 5
JK = 7x
JK = 3x – 7
JK = 4x - 6
KH = 96
KH = 18
KH = 129
16. HJ = 3x + 8
17. HJ = 4t – 15
18. HJ = 5p
JK = 4x + 6
JK = 5t – 6
JK = p
KH = 28
KH = 15
KH = 3
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