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**BETWEENNESS & COLLINEARITY OF POINTS**

WORKBOOK EXERCISES

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**A. Use the number line to find the measure of line segments.**

A B C D E F G H I J K 1. /A B/= /BF/= 2. /AK/= /BE/ + /DG/= 3. / JB/= /AK/-/HK/= 4. /HC/= /JE/./DI/= 5. /FK/= /DH/÷/IK/=

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**B. Answer the following questions.**

1. A, B & C are the three collinear points on a line. Determine which point is between the other if their coordinates are -10,2 and-1 respectively. 2. Points A,B & C are collinear points, B is between A and C. Find the distance of AB if AC = 40 and BC= 15. 3. X,Y & Z are collinear points, /XZ/ +/YZ/ = /XY/ which point is between the other two points. 4. Point B is between A and C, the coordinates of A & C are -6 and 8 respectively. What is the coordinate of B if AB = 6 & BC = 8.

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**B. Answer the following questions.**

5. A, B & C are the three collinear points. The coordinate of A is -6 and the coordinate of C is 20. What is the coordinate of B if AB = BC? 6. Given the figure below. A. If DF = 30, DE = x +5 & EF = 2x -2, find the value of x, the length of DE and EF. B. If DF =65, DE = 3x +5 & EF = 2x +10, find the value of x, the length of DE and EF. D E F

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**BETWEENNESS & COLLINEARITY OF POINTS**

EXERCISES( PARALLEL QUESTIONS)

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**A. Use the number line to find the measure of line segments.**

A B C D E F G H I J K 1. /A B/= /BF/= 2. /AK/= /BE/ + /DG/= 3. / JB/= /AK/-/HK/= 4. /HC/= /JE/./DI/= 5. /FK/= /DH/÷/IK/=

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**B. Answer the following questions.**

1. P, Q & R are the three collinear points on a line. Determine which point is between the other if their coordinates are -15, -20 and 5 respectively. 2. Points A,B & S are collinear points, B is between A and S. Find the distance of BS if AS = 15 and AB= 5. 3. G, M & A are collinear points, /GM/ +/MA/ = /GA/ which point is between the other two points. 4. Point M is between U and I, the coordinates of U & I are 11 and -4 respectively. What is the coordinate of M if MU = 6.

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**B. Answer the following questions.**

5. P, Q & R are the three collinear points. The coordinate of P is -5 and the coordinate of R is 15. What is the coordinate of Q if PQ = RQ? 6. Given the figure below. A. If DF = 30, DE = x +5 & EF = 2x -2, find the value of x, the length of DE and EF. B. If DF =65, DE = 3x +5 & EF = 2x +10, find the value of x, the length of DE and EF. D E F

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Geometry 7.6 Proportional Lengths. Proportional Lengths AC and XZ are divided proportionally if…...... X ABC YZ = BC XYAB YZ Example: 29 18 4 = 2 9 4.

Geometry 7.6 Proportional Lengths. Proportional Lengths AC and XZ are divided proportionally if…...... X ABC YZ = BC XYAB YZ Example: 29 18 4 = 2 9 4.

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