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# 10-1 Geometric Ideas

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• ### 10-1 Geometric Ideas

1. 1. Geometric Ideas 10-1 Math Notes
2. 2. The Language of Geometry Five terms point line line segment ray plane
3. 3. Point an exact location in space
4. 4. Point an exact location in space Example:
5. 5. Point an exact location in space Example: .A .B .C .D
6. 6. Point an exact location in space Symbol & Example: .A How to Read It: .B .C .D
7. 7. Point an exact location in space Symbol & Example: .A How to Read It: .B .B .C .D
8. 8. Point an exact location in space Symbol & Example: .A How to Read It: .B .B .C .D point B
9. 9. Line an endless collection of POINTS along a straight path
10. 10. Line an endless collection of POINTS along a straight path Example:
11. 11. Line an endless collection of POINTS along a straight path Example: .B .A
12. 12. Line an endless collection of POINTS along a straight path Example: .B .A .C .D
13. 13. Line an endless collection of POINTS along a straight path Symbol & Example: How to Read It: .B .A .C .D
14. 14. Line an endless collection of POINTS along a straight path Symbol & Example: How to Read It: .B .A AB .C .D
15. 15. Line an endless collection of POINTS along a straight path Symbol & Example: How to Read It: .B .A AB line AB .C .D
16. 16. Line an endless collection of POINTS along a straight path Symbol & Example: How to Read It: .B .A AB line AB .C .D
17. 17. Line an endless collection of POINTS along a straight path Symbol & Example: How to Read It: .B .A AB line AB .C .D CD
18. 18. Line an endless collection of POINTS along a straight path Symbol & Example: How to Read It: .B .A AB line AB .C .D CD line CD
19. 19. Line an endless collection of POINTS along a straight path Symbol & Example: How to Read It: .B .A AB line AB .C .D CD line CD
20. 20. Line Segment part of a line that has t wo endpoints
21. 21. Line Segment part of a line that has t wo endpoints Example:
22. 22. Line Segment part of a line that has t wo endpoints Example: . X
23. 23. Line Segment part of a line that has t wo endpoints Example: . . Y X
24. 24. Line Segment part of a line that has t wo endpoints Example: . . Y X
25. 25. Line Segment part of a line that has t wo endpoints Example: . . Y X compare to a line . . B A
26. 26. Line Segment part of a line that has t wo endpoints Example: no arrows . . Y X compare to a line . . B A
27. 27. Line Segment part of a line that has t wo endpoints Symbol & Example: no arrows How to Read It: . . Y X compare to a line . . B A
28. 28. Line Segment part of a line that has t wo endpoints Symbol & Example: no arrows How to Read It: . . Y XY X compare to a line . . B A
29. 29. Line Segment part of a line that has t wo endpoints Symbol & Example: no arrows How to Read It: . . Y XY X line segment XY compare to a line . . B A
30. 30. Line Segment part of a line that has t wo endpoints Symbol & Example: no arrows How to Read It: . . Y XY X line segment XY compare to a line . . B A
31. 31. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction
32. 32. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Example:
33. 33. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Example: . S
34. 34. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Example: . T . S
35. 35. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Example: . T . S
36. 36. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Example: . endpoint T . S
37. 37. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Example: . endpoint T . the line goes on, and on, S and on, and on, and on...
38. 38. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Symbol & Example: How to Read It: . endpoint T . the line goes on, and on, S and on, and on, and on...
39. 39. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Symbol & Example: How to Read It: . ST endpoint T . the line goes on, and on, S and on, and on, and on...
40. 40. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Symbol & Example: How to Read It: . ST endpoint T ray ST . the line goes on, and on, S and on, and on, and on...
41. 41. Ray part of a line that has one endpoint and extends ENDLESSLY in the other direction Symbol & Example: How to Read It: . ST endpoint T ray ST . the line goes on, and on, S and on, and on, and on...
42. 42. Plane an endless, ﬂat surface that is named by any THREE points not on the same line . . L N LMN . plane LMN M
43. 43. Plane an endless, ﬂat surface that is named by any THREE points not on the same line Example: . . L N LMN . plane LMN M
44. 44. Plane an endless, ﬂat surface that is named by any THREE points not on the same line Symbol & Example: How to Read It: . . L N LMN . plane LMN M
45. 45. Plane an endless, ﬂat surface that is named by any THREE points not on the same line Symbol & Example: How to Read It: . . L N LMN . plane LMN M
46. 46. Relating to one another.... Lines or segments relate to each other in a few different ways
47. 47. Relating to one another.... Lines or segments relate to each other in a few different ways intersecting
48. 48. Relating to one another.... Lines or segments relate to each other in a few different ways intersecting parallel lines
49. 49. Relating to one another.... Lines or segments relate to each other in a few different ways intersecting parallel lines perpendicular lines
50. 50. Intersecting Lines Intersecting lines meet at one point. That point is called the point of intersection.
51. 51. Intersecting Lines Intersecting lines meet at one point. That point is called the point of intersection. . B . A
52. 52. Intersecting Lines Intersecting lines meet at one point. That point is called the point of intersection. . . C B . . A D
53. 53. Intersecting Lines Intersecting lines meet at one point. That point is called the point of intersection. . . C B . E . . A D
54. 54. Intersecting Lines Intersecting lines meet at one point. That point is called the point of intersection. . . C B . E . point E is the . A point of intersection D
55. 55. Parallel Lines Parallel lines DO NOT intersect but are in the same plane. these t wo lines will NEVER intersect
56. 56. Parallel Lines Parallel lines DO NOT intersect but are in the same plane. . B . A these t wo lines will NEVER intersect
57. 57. Parallel Lines Parallel lines DO NOT intersect but are in the same plane. . B . . D A . these t wo lines will NEVER intersect C
58. 58. Perpendicular Lines Perpendicular lines intersect to form square corners.
59. 59. Perpendicular Lines Perpendicular lines intersect to form square corners. . . A B
60. 60. Perpendicular Lines Perpendicular lines intersect to form square corners. .D . . A B .C
61. 61. Perpendicular Lines Perpendicular lines intersect to form square corners. .D . . A B .C
62. 62. Perpendicular Lines Perpendicular lines intersect to form square corners. .D . . A B square .C
63. 63. Perpendicular Lines Perpendicular lines intersect to form square corners. .D . . A B square .C
64. 64. Perpendicular Lines Perpendicular lines intersect to form square corners. .D . . A B square .C
65. 65. Perpendicular Lines Perpendicular lines intersect to form square corners. .D . . A B square .C
66. 66. Perpendicular Lines Perpendicular lines intersect to form square corners. .D . . A B square .C
67. 67. Review
68. 68. . Review R . A
69. 69. . Review R . A .Z
70. 70. . Review R . A . .Z . H P
71. 71. . Review R . A . .Z . H P . N . M
72. 72. . Review R . A . .Z . H P . N .W . M
73. 73. . line RA Review R . A . .Z . H P . N .W . M
74. 74. . line RA Review R . A . .Z . H point Z P . N .W . M
75. 75. . line RA Review R . A . .Z . H point Z P line segment PH . N .W . M
76. 76. . line RA Review R . A . .Z . H point Z P line segment PH . N .W . ray MN M
77. 77. . line RA Review R . A . .Z . H point Z P line segment PH . N .W . ray MN point W M