1. Beat the Computer! Geometry Vocabulary and Formulas for Unit 1
Chris Giovanello, LBUSD Math Curriculum Office, 2004

2. Chris Giovanello, LBUSD Math Curriculum Office, 2004
Directions:
A slide will appear with a term
Say the definition aloud before the computer can answer (5 sec.)
You will hear a sound when the slide changes
Chris Giovanello, LBUSD Math Curriculum Office, 2004

3. Chris Giovanello, LBUSD Math Curriculum Office, 2004
inductive reasoning
Chris Giovanello, LBUSD Math Curriculum Office, 2004

4. reasoning based on patterns you observe
inductive reasoning:
reasoning based on patterns you observe
Using the pattern, what is the next term in the sequence?
Chris Giovanello, LBUSD Math Curriculum Office, 2004

5. Chris Giovanello, LBUSD Math Curriculum Office, 2004
conjecture
Chris Giovanello, LBUSD Math Curriculum Office, 2004

6. a conclusion reached when using inductive reasoning
conjecture:
a conclusion reached when using inductive reasoning
“Based on the pattern, I think the answer is…”
Chris Giovanello, LBUSD Math Curriculum Office, 2004

7. Chris Giovanello, LBUSD Math Curriculum Office, 2004
counterexample
Chris Giovanello, LBUSD Math Curriculum Office, 2004

8. an example for which a conjecture is false
counterexample:
an example for which a conjecture is false
Conjecture: All integers are natural numbers.
Counterexample: -1
Chris Giovanello, LBUSD Math Curriculum Office, 2004

9. Chris Giovanello, LBUSD Math Curriculum Office, 2004
point
Chris Giovanello, LBUSD Math Curriculum Office, 2004

10. P point: a location in space having no size
Chris Giovanello, LBUSD Math Curriculum Office, 2004

11. Chris Giovanello, LBUSD Math Curriculum Office, 2004
space
Chris Giovanello, LBUSD Math Curriculum Office, 2004

12. Chris Giovanello, LBUSD Math Curriculum Office, 2004
space:
the set of all points
Chris Giovanello, LBUSD Math Curriculum Office, 2004

13. Chris Giovanello, LBUSD Math Curriculum Office, 2004
line
Chris Giovanello, LBUSD Math Curriculum Office, 2004

14. a series of points that extends in two opposite directions without end
line:
a series of points that extends in two opposite directions without end t P Q
line t or or
Chris Giovanello, LBUSD Math Curriculum Office, 2004

15. Chris Giovanello, LBUSD Math Curriculum Office, 2004
collinear points
Chris Giovanello, LBUSD Math Curriculum Office, 2004

16. points that lie on the same line
collinear points:
points that lie on the same line
collinear
non-collinear X Y
Line l Z
Chris Giovanello, LBUSD Math Curriculum Office, 2004

17. Chris Giovanello, LBUSD Math Curriculum Office, 2004
plane
Chris Giovanello, LBUSD Math Curriculum Office, 2004

18. a flat surface that has no thickness
plane:
a flat surface that has no thickness P
Plane P C B A
Plane ABC
Chris Giovanello, LBUSD Math Curriculum Office, 2004

19. Chris Giovanello, LBUSD Math Curriculum Office, 2004
coplanar
Chris Giovanello, LBUSD Math Curriculum Office, 2004

20. points and lines that lie in the same plane
coplanar:
points and lines that lie in the same plane X
coplanar Y
Line l
Line m X Y
non-coplanar
Line l
Line m
Chris Giovanello, LBUSD Math Curriculum Office, 2004

21. Chris Giovanello, LBUSD Math Curriculum Office, 2004
postulate or
axiom
Chris Giovanello, LBUSD Math Curriculum Office, 2004

22. a statement that is accepted as true without proof
postulate or axiom:
a statement that is accepted as true without proof
Example: Through any two points there is exactly one line.
Chris Giovanello, LBUSD Math Curriculum Office, 2004

23. Chris Giovanello, LBUSD Math Curriculum Office, 2004
segment
Chris Giovanello, LBUSD Math Curriculum Office, 2004

24. Chris Giovanello, LBUSD Math Curriculum Office, 2004
segment:
the part of a line consisting of two endpoints and all the points between them A B
endpoint
Segment AB
Chris Giovanello, LBUSD Math Curriculum Office, 2004

25. Chris Giovanello, LBUSD Math Curriculum Office, 2004
ray
Chris Giovanello, LBUSD Math Curriculum Office, 2004

26. Chris Giovanello, LBUSD Math Curriculum Office, 2004
ray:
the part of a line consisting of two endpoints and all the points between them
Ray YX X Y
endpoint
Chris Giovanello, LBUSD Math Curriculum Office, 2004

27. Chris Giovanello, LBUSD Math Curriculum Office, 2004
opposite rays
Chris Giovanello, LBUSD Math Curriculum Office, 2004

28. two collinear rays with the same endpoint
opposite rays:
two collinear rays with the same endpoint X R S
and are opposite rays
Chris Giovanello, LBUSD Math Curriculum Office, 2004

29. Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel lines
Chris Giovanello, LBUSD Math Curriculum Office, 2004

30. coplanar lines that do not intersect
parallel lines:
coplanar lines that do not intersect
Chris Giovanello, LBUSD Math Curriculum Office, 2004

31. Chris Giovanello, LBUSD Math Curriculum Office, 2004
skew lines
Chris Giovanello, LBUSD Math Curriculum Office, 2004

32. lines that do not lie in the same plane
skew lines:
lines that do not lie in the same plane
Chris Giovanello, LBUSD Math Curriculum Office, 2004

33. Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel planes
Chris Giovanello, LBUSD Math Curriculum Office, 2004

34. planes that do not intersect
parallel planes:
planes that do not intersect A G F E D C B H
Plane ABCD is parallel to Plane EFGH
Chris Giovanello, LBUSD Math Curriculum Office, 2004

35. congruent () segments
Chris Giovanello, LBUSD Math Curriculum Office, 2004

36. segments with the same length
congruent segments:
segments with the same length A B C D
5 cm
AB = CD
Chris Giovanello, LBUSD Math Curriculum Office, 2004

37. Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint of a segment
Chris Giovanello, LBUSD Math Curriculum Office, 2004

38. a point that divides a segment into two congruent segments
midpoint of a segment:
a point that divides a segment into two congruent segments A B C
Chris Giovanello, LBUSD Math Curriculum Office, 2004

39. Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004

40. two rays with the same endpoint
angle:
two rays with the same endpoint
vertex
Chris Giovanello, LBUSD Math Curriculum Office, 2004

41. Chris Giovanello, LBUSD Math Curriculum Office, 2004
acute angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004

42. an angle whose measure is between 0º and 90º
acute angle:
an angle whose measure is between 0º and 90º
Chris Giovanello, LBUSD Math Curriculum Office, 2004

43. Chris Giovanello, LBUSD Math Curriculum Office, 2004
right angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004

44. an angle whose measure is exactly 90º
right angle:
an angle whose measure is exactly 90º
Chris Giovanello, LBUSD Math Curriculum Office, 2004

45. Chris Giovanello, LBUSD Math Curriculum Office, 2004
obtuse angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004

46. an angle whose measure is between 90º and 180º
obtuse angle:
an angle whose measure is between 90º and 180º
Chris Giovanello, LBUSD Math Curriculum Office, 2004

47. Chris Giovanello, LBUSD Math Curriculum Office, 2004
straight angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004

48. an angle whose measure is exactly 180º
straight angle:
an angle whose measure is exactly 180º
Chris Giovanello, LBUSD Math Curriculum Office, 2004

49. Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004

50. angles with the same measure
congruent angles:
angles with the same measure
Chris Giovanello, LBUSD Math Curriculum Office, 2004

51. Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular lines
Chris Giovanello, LBUSD Math Curriculum Office, 2004

52. two lines that intersect to form right angles
perpendicular lines:
two lines that intersect to form right angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004

53. perpendicular bisector of a segment
Chris Giovanello, LBUSD Math Curriculum Office, 2004

54. perpendicular bisector of a segment:
a line, segment, or ray that is  to the segment at its midpoint, thereby bisecting the segment into two  segments
Chris Giovanello, LBUSD Math Curriculum Office, 2004

55. Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle bisector
Chris Giovanello, LBUSD Math Curriculum Office, 2004

56. a ray that divides an angle into two congruent coplanar angles
angle bisector:
a ray that divides an angle into two congruent coplanar angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004

57. Chris Giovanello, LBUSD Math Curriculum Office, 2004
distance formula
Chris Giovanello, LBUSD Math Curriculum Office, 2004

58. the distance d between two points A(x1,x2) and B(y1,y2):
distance formula:
the distance d between two points A(x1,x2) and B(y1,y2):
Chris Giovanello, LBUSD Math Curriculum Office, 2004

59. Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint formula
Chris Giovanello, LBUSD Math Curriculum Office, 2004

60. Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint formula:
the coordinates of the midpoint M of AB with endpoints A(x1,x2) and B(y1,y2) are:
Chris Giovanello, LBUSD Math Curriculum Office, 2004