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More practice problems for geometry number line distance. This is for high school students.

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- 1. Millau Bridge Sir Norman Foster Point, Lines, Planes, Angles Fallingwaters Frank Lloyd Wright Millenium Park Frank Lloyd Wright 1.3 Segments, Rays, and Distance WE Page 15
- 2. 1.3 Segments, Rays, and Distance WE Page 15 The numbers given are coordinates of 2 points on a number line. Find the distance between the points. 1 . - 6 and 9 2 . - 3 and - 17 3 . - 1.2 and - 5.7 4 . - 2.5 and 4.6
- 3. In the diagram, and intersect at the midpoint of . Classify each statement as true of false. State why the statement is false. 5 . H K M T L True. It goes through midpoint. True. The order of the letters doesn’t matter.
- 4. In the diagram, and intersect at the midpoint of . Classify each statement as true of false. State why the statement is false. 5 . 6 . KM must = MT H K M T L False. KM < MT True. The order of the letters doesn’t matter.
- 5. In the diagram, and intersect at the midpoint of . Classify each statement as true of false. State why the statement is false. 5 . 6 . KM must = MT 7 . bisects 8 . is a bisector of H K M T L True. It goes through midpoint. True. It goes through midpoint. False. KM < MT True. The order of the letters doesn’t matter.
- 6. 9 . and are opposite rays. 10 . and are opposite rays . 11 . is the same as 12 . is the same as H K M T L False. They do not have the same endpoint. True. False. One’s a line & the others a segment. True. They have same starting point and direction. In the diagram, and intersect at the midpoint of . Classify each statement as true of false. State why the statement is false.
- 7. 13 . is the same as 14 . is the same as 15 . HM + ML = HL H K M T L In the diagram, and intersect at the midpoint of . Classify each statement as true of false. State why the statement is false. True. Same line but different points. False. One’s a line & the others a segment. True. Segment Add. Postulate.
- 8. 13 . is the same as 14 . is the same as 15 . HM + ML = HL 16 . TM + MH = TH H K M T L In the diagram, and intersect at the midpoint of . Classify each statement as true of false. State why the statement is false. True. Same line but different points. False. One’s a line & the others a segment. True. Segment Add. Postulate. False. Shortest distance between 2 points is a straight line.
- 9. 17 . T is between H and M. 18 . M is between K and T. H K M T L In the diagram, and intersect at the midpoint of . Classify each statement as true of false. State why the statement is false. False. T is not on segment HM. True. M is on segment KT.
- 10. Name each of the following. 19 . The point on whose distance from D is 2. D B C G F E A - 3 - 2 - 1 0 1 2 3 B
- 11. Name each of the following. 19 . The point on whose distance from D is 2. 20 . The point on whose distance from D is 2. D B C G F E A - 3 - 2 - 1 0 1 2 3 B F
- 12. Name each of the following. 21 . Two points whose distance from E is 2. D B C G F E A - 3 - 2 - 1 0 1 2 3 C and G
- 13. Name each of the following. 21 . Two points whose distance from E is 2. 22 . The ray opposite to D B C G F E A - 3 - 2 - 1 0 1 2 3 C and G
- 14. Name each of the following. 23 . The midpoint of D B C G F E A - 3 - 2 - 1 0 1 2 3 D seen visually. or Average the coordinates. Note that the name of the midpoint is a letter while the coordinate is a number. D
- 15. Name each of the following. 24 . The coordinate of the midpoint of D B C G F E A - 3 - 2 - 1 0 1 2 3 -1 seen visually. or Average the coordinates.
- 16. Name each of the following. 25 . The coordinate of the midpoint of D B C G F E A - 3 - 2 - 1 0 1 2 3 -1
- 17. Name each of the following. 25 . The coordinate of the midpoint of 26 . A segment congruent to D B C G F E A - 3 - 2 - 1 0 1 2 3 -1
- 18. In Exercises 27-30 draw and so that the conditions are satisfied. 27 . Segments CD and RS intersect, but neither segment bisects to other. 28 . Segment CD and RS bisect each other. OR OR There are an infinite possibilities. There are an infinite possibilities.
- 19. 29 . bisects but doesn’t bisect OR In Exercises 27-30 draw and so that the conditions are satisfied. There are an infinite possibilities.
- 20. 30 . and do not intersect. OR C R D S R D C S In Exercises 27-30 draw and so that the conditions are satisfied. But and do intersect. There are an infinite possibilities.
- 21. 31 . In the diagram, , S is midpoint of . QR = 4 and ST = 5. Complete. P Q R S T Label Diagram First !! 4 5 5 10 10 6 a] RS = _____ b] RT = _____ c] PR = _____ d] PQ = _____ 5 10 10 6 Note that once the diagram was labeled , everything was easier.
- 22. 32 . In the diagram, X is the midpoint of VW = 5, and VY = 20. Find the coordinates of W, X, & Y. V W X Y Z 5 20 34 - 12 22 17 17 Label Diagram X = -12+17 = 5 W = -12+ 5 = -7 Y = -12+20 = 8
- 23. 33 . DE = 5x + 3 , EF = 33 E is the midpoint of . Find the value of x. F D H G E 5x + 3 = 33 5x = 30 x = 6 33 5x + 3 Label the diagram first
- 24. 34 . DE = 45 , EF = 5x - 10 E is the midpoint of . Find the value of x. F D H G E 45 = 5x - 10 55 = 5x 11 = x 5x - 10 DE = 45 Label the diagram first
- 25. 35 . DE = 3x , EF = x + 6 E is the midpoint of . Find the value of x. F D H G E 3x = x + 6 2x = 6 X = 3 EF = x + 6 DE = 3x Label the diagram first
- 26. 36 . DE = 2x - 3 , EF = 5x - 24 E is the midpoint of . Find the value of x. F D H G E 2x – 3 = 5x - 24 -3x -3 = -24 - 3x = - 21 x = 7 Label the diagram firstCC 5x - 24 2x – 3
- 27. 37 . GE = y , EH = y – 1 , GH = 11 Find the value of y. F D H G E y + y - 1 = 11 2y - 1 = 11 2y = 12 x = 6 Segment Addition Postulate Sum of the parts = the whole. y y – 1 Label the diagram first GH = 11
- 28. 38 . GE = 3y , EH = 24 , GH = 7y - 4 Find the value of y. F D H G E 3y + 24 = 7y - 4 24 = 4y - 4 28 = 4y 7 = y Segment Addition Postulate Sum of the parts = the whole. 3y 24 Label the diagram first GH = 7y - 4
- 29. 39 . GE = z + 2 , EH = 2z - 6 , GH = 20 Find the value of z. Then find GE and EH and state whether E is the midpoint. F D H G E z + 2 + 2z - 6 = 20 3z - 4 = 20 3z = 24 z = 8 Segment Addition Postulate Sum of the parts = the whole. GE = z + 2 = 10 EH = 2z – 6 = 10 E is a midpoint. z + 2 2z - 6 Label the diagram first GH = 20 Not done yet. Find segments.
- 30. 40 . GE = z , EH = 2z - 4 , GH = z + 6 Find the value of z. Then find GE and EH and state whether E is the midpoint. F D H G E z + 2z - 4 = z + 6 3z - 4 = z + 6 2z - 4 = 6 2z = 10 Segment Addition Postulate Sum of the parts = the whole. GE = z = 5 EH = 2z – 4 = 6 E is not a midpoint. z = 5 z 2z - 4 Label the diagram first GH = z + 6
- 31. 41 . Name the graph of the given equation or inequality. N H M Z Y T G - 4 - 2 0 2 4 6 8 42 . 43 .
- 32. 44 . Name the graph of the given equation or inequality. N H M Z Y T G - 4 - 2 0 2 4 6 8 45 . The whole line. Point M The absolute value of negative numbers are greater than 0; the absolute value of 0 = 0 ; and the absolute value of positive numbers are greater than zero.
- 33. 46a . Draw the diagram and illustrate your answer. 46b . On , how many points are there whose distance from point A is 3 cm. 3 cm A B 1 On , how many points are there whose distance from point A is 3 cm. 3 cm 3 cm A 2 B
- 34. C’est fini. Good day and good luck.

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