ࡱ> dfc bjbjPP 42::=~~JJJ^^^84T^Jk(FFFLZLZLZjjjjjjj,mojJLZjVLZLZLZjz[~~FF$;kz[z[z[LZR~.FJFjz[LZjz[z[h|)j`<ZQijk0Jkcibpz[bp$)jz[J)jLZLZLZjjz[LZLZLZJkbpLZLZLZLZLZLZLZLZLZ D:   Midpoints & Segment Bisectors Name_______________________ Activity I. Midpoint  1. Trace segment AB onto a piece of patty paper. Fold one endpoint of AB onto the other and crease. Label the creased point C. Make a conjecture about AC and BC. 4. A point is the midpoint of a segment if and only if II. Segment Bisectors 5. Study the diagrams below and write a definition of a segment bisector.    6. A segment bisector is Complete the following statements. a) MR = 24, HR = ______ b) TR = 16, AT = ______ c) MH = 58, MR = ______ d) R is the midpoint of ______ and ______. III. Practices M is the midpoint of PQ. PM = 7x + 8 and MQ = 5x+ 20. Draw the diagram. x= PM= ___ MQ = _ PQ = B is the midpoint of AC. AB = 2x 1 and AC = 3x+ 2. Draw the diagram. x= AB= ___ BC = _ AC =  10. Given JB is the segment bisector of AD, AD = 24, AZ = 2x + 4, and m(JZA= 3y, Find the value of x and y. Use Figure 2 for problems 11 13.  11. What is the midpoint of AB? 12. What is the coordinate of the midpoint of QB?  13. The coordinate of the midpoint of AR is -5. What is the coordinate of point R? Use Figure 3 for problems 15 16.  14. If TM = 3x + 5, MQ = x + 17, find the value of x. 15. If AM = 5y 1, AB = 38, find the value of y. Midpoints & Segment Bisectors Name Worksheet Period Draw a diagram for each problem. M is the midpoint of PQ. PM = 6x + 7 and MQ = 9x 8, find the length of PQ. M is the midpoint of PQ. PM = 5x + 8 and PQ = 76, find x. M is the midpoint of PQ. PM = 9x + 3 and MQ = 11x 17, find x and PQ. M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, find PM. DE bisects AB at C. If AC = 8x 3 and CB = 4x + 57, find x. A is the midpoint of CT. CA = 2x + 8 and AT = 4x + 2, find x and length of CT. A is the midpoint of CT. CA = 7x 5, CT = 46, find x. 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