Name________ Activity # 2 Segment Addition Postulate, Midpoint, Distance Write the Segment Addition Postulate for the points described.

1. S is between D and P 2. J is between S and H Ex: DS + SP = DP

3. C is between Q and R 4. T is between M and N In the diagram of collinear points, GK = 24, HJ = 10, and GH=HI=IJ. Mark the segment and find each length.

5. HI 6. IJ 7. GH 8. JK 9. IG 10. IK If R is between Q and S, draw the figure and solve for the missing side.

11. If RS = 44.6 and SQ = 68.4, find QR. 12. If QS = 80 and RQ = 33.4, find QR.

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 = 3(x+7), 17. HJ = 4t – 15 18. HJ = 5p JK = 2(x-3), JK = 5t – 6 JK = p KH = 50 KH = 15 KH = 36

G KH I J

Name________ Activity # 2 Segment Addition Postulate, Midpoint, Distance

For Exercises 19–24, complete each statement. Given: ������ = ��� 19. The midpoint of PQ is ________________. 20. NQ = ________________. 21. Another name for SN is ________________. 22. S is the ________________ of SQ. 23. P is the midpoint of ________________. 24. Another name for SN is ________________. Refer to the figure below for Exercises 25-32 to determine whether each statement is true or false. ___ 25. PB bisects RS _______ 26. S is the midpoint of TV ______ __ __ ___ 27. SV ≈ TS _______ 28. V is the midpoint of TW ______ __ ___ ___ 29. W bisects VR _______ 30. WR ≈ QV _____ ___ ___ ___ ___ 31. SW is longer than VR ______ 32. VW ≤ TV _____ In the figure at the right, WY bisects UV at Y and UY bisects TW at X. For each situation, find the value of x and the measure of the indicated segment. 33. UY = 4x – 3, YV = x; Find UV.

x = ____ UV = ______ 34. UV = x + 6, UY = x; Find YV.

x = ____ UV = ______

35. TX = 2x + 1, XW = x + 7; Find TW x = ____ TW = ______ 36. WX = x + 5, TW = 4x + 5; Find TX

x = ____ TX= ______

Name________ Activity # 2 Segment Addition Postulate, Midpoint, Distance Calculate the distance between each endpoint round to the nearest tenth of a unit. 37. 38. Calculate the length of each segment and the coordinates of each midpoint. 39. 40. The endpoints of two segments are give, find the length of each segment. 41. 42.