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Transcript
Section 2-3 E
H: Points A, B, and C lie on line l
C: They are collinear.
If the Tigers win their next game, then they will play in the tournament.
H: The tigers win their next game
C: They will play in the tournament.
September 15, 2010
Section 2-3 E
September 15, 2010
If an angle has a measure greater than 90, then it is an obtuse angle.
H: An angle has a measure greater than 90
C: It is an obtuse angle.
If the lines are perpendicular then they intersect.
H: The lines are perpendicular
C: THey intersect
Section 2-3 E
September 15, 2010
Section 2-3 E
September 15, 2010
Section 2-3 E
September 15, 2010
1.
If two angle are supplementary, then they add up to 180.
Converse:
Inverse:
Contrapositive:
If two angles add up to 180, then they are supplementary.
2.
If two angles are not supplementary, then they do not add up to 180.
If two angles do not add up to 180, then they are not supplementary.
If two angles measures add up to 90, then they are complementary.
Converse:
Inverse:
Contrapositive:
3.
If two angles are complementary, then two angles measures add up to 90.
If two angles measures do not add up to 90, then they are not complementary.
If two angles aren't complementary, then the two angles measures do not add up to
90.
If a shape has 4 sides, then it is a triangle
Converse:
Inverse:
Contrapositive:
4.
If it's a triangle, then it has 4 sides
If it does not have 4 sides, then it is not a triangle
If it is not a triangle then it does not have 4 sides
If a figure has 3 sides, then it is a triangle.
Converse:
Inverse:
Contrapositive:
If a figure is a triangle, then it has 3 sides.
If a figure does not have 3 sides, then it is not a triangle.
If a figure is not a triangle, then it does not have 3 sides.
5.
if x equals y, then y equals x
Converse:
Inverse:
Contrapositive:
if y equals x then x equals y
if x does not equal y then y does not equal x
if y does not equal x then x does not equal y
6.
If 2+2+4, then 2+3=5
Converse:
Inverse:
Contrapositive:
7.
If 2+3=5 then 2+2=4
If 2+2 does not = 4 then 2+3 does not = 5
If 2+3 does not =5 then 2+2 does not =4
If a letter represents a number then it is a variable
Converse:
Inverse:
Contrapositive:
If its a variable, then a letter represents a number
If a letter does not represent a number, then it is not a variable
If it is not a variable, then a letter does not represent a number
If lines are perpendicular then they intersect. T
If lines intersect then they are perpendicular F
If lines are not perpendicular then they do not intersect F
If lines do not intersect then they are not perpendicular. T
Section 2-3 E
September 15, 2010
Make a truth table to show 2 statements, a
conditional, and its converse, inverse, and
contrapositive.
Section 2-3 E
September 15, 2010
If two angles are linear pairs then they are supplementary. T
If two angles are supplementary then they are linear pairs. F non adjacent
angles that add up to 180
If the angles are not a linear pair then they are not supplementary. F non
adjacent angles that add up to 180
If the angles are not supplementary, then they are not linear pairs. T