Terms of Endearment Conditional Statements:  2.1
Conditional Statement Statement containing a hypothesis and conclusion
If-then form The hypothesis is identified by the “if” The conclusion is identified by the “then”
Writing a statement in if-then form You want to avoid words like “it” when you start out your statement For example, if you are putting the following in if-then form: A number divisible by 4 is also divisible by 2…you don’t want to say:  If  it  is divisible by 4, then it is divisible by 2. You would want to identify what  it  is by saying:  If  a number  is divisible by 4, then it is divisible by 2. It is okay to use “it” after you have already identified what “it” is
Converse Statement that switches the hypothesis and conclusion CO nverse... C hanges the  O rder of the Conditional statement
Negation This is the negative of the statement
Inverse This is a statement that negates both the hypothesis and conclusion
Contrapositive The statement is the negation of the converse In other words, this does it all…it makes the hypothesis and conclusion negative  and  switches the order CO ntra Positive … C hanges the  O rder and makes it  Negative
Line Postulates Through any two points there exists  exactly  on line A line contains at least two points If two lines intersect, then their intersection is  exactly  one point
Plane Postulates Through any 3 non-collinear points there exists  exactly  one plane A plane contains at least 3 non-collinear points If two points lie in a plane, then the line containing them lies in a plane If two planes intersect, then their intersection is a line

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2.1 terms

  • 1. Terms of Endearment Conditional Statements: 2.1
  • 2. Conditional Statement Statement containing a hypothesis and conclusion
  • 3. If-then form The hypothesis is identified by the “if” The conclusion is identified by the “then”
  • 4. Writing a statement in if-then form You want to avoid words like “it” when you start out your statement For example, if you are putting the following in if-then form: A number divisible by 4 is also divisible by 2…you don’t want to say: If it is divisible by 4, then it is divisible by 2. You would want to identify what it is by saying: If a number is divisible by 4, then it is divisible by 2. It is okay to use “it” after you have already identified what “it” is
  • 5. Converse Statement that switches the hypothesis and conclusion CO nverse... C hanges the O rder of the Conditional statement
  • 6. Negation This is the negative of the statement
  • 7. Inverse This is a statement that negates both the hypothesis and conclusion
  • 8. Contrapositive The statement is the negation of the converse In other words, this does it all…it makes the hypothesis and conclusion negative and switches the order CO ntra Positive … C hanges the O rder and makes it Negative
  • 9. Line Postulates Through any two points there exists exactly on line A line contains at least two points If two lines intersect, then their intersection is exactly one point
  • 10. Plane Postulates Through any 3 non-collinear points there exists exactly one plane A plane contains at least 3 non-collinear points If two points lie in a plane, then the line containing them lies in a plane If two planes intersect, then their intersection is a line