The document defines and provides examples of five basic geometric terms: point, line, line segment, ray, and plane. It explains that a point denotes a specific location in space, a line consists of points forming a continuous straight path, a line segment is part of a line between two endpoints, a ray has one endpoint and extends indefinitely in one direction, and a plane is a flat surface defined by any three non-collinear points. Examples are given to illustrate each term and how they are symbolized.

1. Geometric Ideas
10-1 Math Notes

2. The Language of Geometry
Five terms
point
line
line segment
ray
plane

3. Point
an exact location in space

4. Point
an exact location in space
Example:

5. Point
an exact location in space
Example: .A
.B
.C .D

6. Point
an exact location in space
Symbol &
Example: .A How to Read It:
.B
.C .D

7. Point
an exact location in space
Symbol &
Example: .A How to Read It:
.B
.B
.C .D

8. Point
an exact location in space
Symbol &
Example: .A How to Read It:
.B
.B
.C .D point B

9. Line
an endless collection of POINTS along a
straight path

10. Line
an endless collection of POINTS along a
straight path
Example:

11. Line
an endless collection of POINTS along a
straight path
Example:
.B
.A

12. Line
an endless collection of POINTS along a
straight path
Example:
.B
.A
.C .D

13. Line
an endless collection of POINTS along a
straight path
Symbol &
Example: How to Read It:
.B
.A
.C .D

14. Line
an endless collection of POINTS along a
straight path
Symbol &
Example: How to Read It:
.B
.A
AB
.C .D

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. Line
an endless collection of POINTS along a
straight path
Symbol &
Example: How to Read It:
.B
.A
AB
line AB
.C .D

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. 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. 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. Line Segment
part of a line that has t wo endpoints

21. Line Segment
part of a line that has t wo endpoints
Example:

22. Line Segment
part of a line that has t wo endpoints
Example:
.
X

23. Line Segment
part of a line that has t wo endpoints
Example:
.
. Y
X

24. Line Segment
part of a line that has t wo endpoints
Example:
.
. Y
X

25. Line Segment
part of a line that has t wo endpoints
Example:
.
. Y
X compare to a line
.
. B
A

26. Line Segment
part of a line that has t wo endpoints
Example: no arrows
.
. Y
X compare to a line
.
. B
A

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. 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. 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. 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. Ray
part of a line that has one endpoint and
extends ENDLESSLY in the other direction

32. Ray
part of a line that has one endpoint and
extends ENDLESSLY in the other direction
Example:

33. Ray
part of a line that has one endpoint and
extends ENDLESSLY in the other direction
Example:
.
S

34. Ray
part of a line that has one endpoint and
extends ENDLESSLY in the other direction
Example:
.
T
.
S

35. Ray
part of a line that has one endpoint and
extends ENDLESSLY in the other direction
Example:
.
T
.
S

36. Ray
part of a line that has one endpoint and
extends ENDLESSLY in the other direction
Example:
.
endpoint T
.
S

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. 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. 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. 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. 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. Plane
an endless, flat surface that is named by
any THREE points not on the same line
. .
L N LMN
. plane LMN
M

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. 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. 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. Relating to one another....
Lines or segments relate to each other in a
few different ways

47. Relating to one another....
Lines or segments relate to each other in a
few different ways
intersecting

48. Relating to one another....
Lines or segments relate to each other in a
few different ways
intersecting
parallel lines

49. Relating to one another....
Lines or segments relate to each other in a
few different ways
intersecting
parallel lines
perpendicular lines

50. Intersecting Lines
Intersecting lines meet at one point. That
point is called the point of intersection.

51. Intersecting Lines
Intersecting lines meet at one point. That
point is called the point of intersection.
.
B
.
A

52. Intersecting Lines
Intersecting lines meet at one point. That
point is called the point of intersection.
. .
C B
. .
A D

53. Intersecting Lines
Intersecting lines meet at one point. That
point is called the point of intersection.
. .
C B
.
E
. .
A D

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. Parallel Lines
Parallel lines DO NOT intersect but are in
the same plane.
these t wo lines will
NEVER intersect

56. Parallel Lines
Parallel lines DO NOT intersect but are in
the same plane.
.
B
.
A these t wo lines will
NEVER intersect

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. Perpendicular Lines
Perpendicular lines intersect to form
square corners.

59. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
. .
A B

60. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
.D
. .
A B
.C

61. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
.D
. .
A B
.C

62. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
.D
. .
A B
square
.C

63. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
.D
. .
A B
square
.C

64. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
.D
. .
A B
square
.C

65. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
.D
. .
A B
square
.C

66. Perpendicular Lines
Perpendicular lines intersect to form
square corners.
.D
. .
A B
square
.C

67. Review

68. . Review
R .
A

69. . Review
R .
A
.Z

70. . Review
R .
A .
.Z . H
P

71. . Review
R .
A .
.Z . H
P
.
N
.
M

72. . Review
R .
A .
.Z . H
P
.
N .W
.
M

73. . line RA Review
R .
A .
.Z . H
P
.
N .W
.
M

74. . line RA Review
R .
A .
.Z . H
point Z
P
.
N .W
.
M

75. . line RA Review
R .
A .
.Z . H
point Z
P line segment PH
.
N .W
.
M

76. . line RA Review
R .
A .
.Z . H
point Z
P line segment PH
.
N .W
. ray MN
M

77. . line RA Review
R .
A .
.Z . H
point Z
P line segment PH
.
N .W
. ray MN point W
M