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Points that lie on the same line

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Presentation on theme: "Points that lie on the same line"— Presentation transcript:

1 Points that lie on the same line

2 Collinear points

3 points that don't lie on the same line

4 Non-collinear points

5 objects which lie on the same plane

6 Coplanar objects

7 objects which don't lie on the same plane

8 Non-coplanar objects

9 statement that we accept without proof

10 Postulate

11 statement that we can prove using logic

12 Theorem

13 the intersection of two lines

14 Point

15 the intersection of two planes

16 Line

17 two coplanar lines that don't intersect

18 Parallel lines

19 two points and all points between them

20 Segment

21 segments with equal lengths

22 Congruent segments

23 point that divides a segment into two congruent segments

24 Midpoint

25 object that divides a segment into two congruent segments

26 Segment bisector

27 a part of a line that has only one endpoint

28 Ray

29 rays with the same endpoint which together form a line

30 Opposite rays

31 two rays joined by a common endpoint

32 Angle

33 common endpoint of two rays that form an angle

34 Vertex

35 angle with measure less than 90 degrees

36 Acute angle

37 angle with measure exactly 90 degrees

38 Right angle

39 angle with measure between 90 degrees and 180 degrees

40 Obtuse angle

41 angle with measure exactly 180 degrees

42 Straight angle

43 object (such as a ray or line) which divides an angle into two congruent angles

44 Angle bisector

45 a unit to measure angles which equals a fraction (1/360th) of a circle

46 Degree

47 the number of degrees in one-fourth of a circle

48 90

49 the number of degrees in one-half of a circle

50 180

51 the number of degrees in a circle

52 360

53 angles whose measures are equal

54 Congruent angles

55 coplanar angles with a common vertex and side, but no common interior points

56 Adjacent angles

57 a pair of angles whose measures add to 90 degrees

58 Complementary angles

59 a pair of angles whose measures add to 180 degrees

60 Supplementary angles

61 a pair of supplementary and adjacent angles

62 Linear pair

63 a pair of “opposite” angles formed by a pair of intersecting lines

64 Vertical angles

65 a statement that can be written in the form, "if p, then q.“

66 Conditional statement

67 the given information: part of a conditional statement found immediately after the word if

68 Hypothesis

69 the result of the hypothesis: part of a conditional statement found immediately after the word then

70 Conclusion

71 example showing a statement is not ALWAYS true, and is therefore false

72 Counterexample

73 statement obtained from a conditional statement by switching the hypothesis and the conclusion

74 Converse

75 statement obtained from a conditional statement by negating the hypothesis and the conclusion

76 Inverse

77 statement obtained from a conditional statement by negating AND switching the hypothesis and conclusion

78 Contrapositive

79 statement combining a conditional statement with its converse using the phrase "if and only if“

80 Biconditional statement
MYP and PSC only

81 a diagram with two or more overlapping circles, used to show relationships between sets.

82 Venn Diagram

83 If p --> q is a true conditional and p is true, then q is true.

84 Law of Detachment

85 If p --> q and q --> r are true conditionals, then p --> r is true.

86 Law of Syllogism

87 lines that have a point in common

88 Intersecting lines

89 coplanar lines that do not intersect.

90 Parallel lines

91 lines that intersect at right angles

92 Perpendicular lines

93 lines that are non-coplanar and do not intersect

94 Skew lines

95 lines that intersect but are not perpendicular

96 Oblique lines

97 The steepness of a line expressed as a ratio, using any two points on the line

98 Slope

99 a line that intersects two other lines, at different points

100 Transversal

101 a pair of angles, both in the same position relative to two lines crossed by a transversal (that is, upper right, etc)

102 Corresponding angles

103 One pair of corresponding angles is
2 and  ___

104 4

105 a pair of angles, both between two parallel lines and on opposite sides of the transversal

106 Alternate interior angles

107 One pair of alternate interior angles is
2 and  ___

108 6

109 a pair of angles, both exterior to two parallel lines and on opposite sides of the transversal

110 Alternate exterior angles

111 One pair of alternate exterior angles is
1 and  ___

112 5

113 a pair of angles, both between two parallel lines and on the same side of the transversal

114 Consecutive interior lines

115 One pair of consecutive interior angles is
2 and  ___

116 3

117 a pair of angles, both exterior to two parallel lines and on the same side of the transversal

118 Consecutive exterior angles

119 One pair of consecutive exterior angles is
8 and  ___

120 5


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