conditional statements
TRANSCRIPT
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Conditional Statementshttp://www.youtube.com/watch?v=Wnc3_AekOno&feature=related
http://www.youtube.com/watch?v=vzuaHRJAHuQ
SOL: G.1aSEC: 2.3
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Lesson 2-1 Conditional Statements 4
Conditional Statement
Definition: A conditional statement is a statement that can be written in if-then form.“If _____________, then ______________.”
“if p, then q”. Symbolic Notation p → q
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Lesson 2-1 Conditional Statements 5
Conditional Statement
Conditional Statements have two parts:
The hypothesis is the part of a conditional statement that follows “if” (Usually denoted p.)
The conclusion is the part of an if-then statement that follows “then” (Usually denoted q.)
The hypothesis is the given information, or the condition.
The conclusion is the result of the given information.
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ExampleWrite the statement “ An angle of 40° is acute.”
Hypothesis – An angle of 40° Represented by : p
Conclusion – is Acute Represented by : q
If – Then Statement – If an angle is 40°, then the angle is acute.
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ExampleIdentify the Hypothesis and Conclusion in the
following statements:
1. If a polynomial has six sides, then it is a hexagon.H: A polygon has 6 sides C: it is a hexagon
2. Tamika will advance to the next level of play if she completes the maze in her computer game.
H: Tamika Completes the maze in her computer game.C: She will advance to the next level of play.
p q
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Forms of Conditional Statements
Conditional Statements:
Formed By: Given Hypothesis and Conclusion.
Symbols: p → q
Examples: If two angles have the same measure then they are congruent.
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Forms of Conditional Statements
Converse:
Formed By: Exchanging Hypothesis and conclusion of the conditional.
Symbols: q → p
Examples: If two angles are congruent then they have the same measure.
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Forms of Conditional Statements
Inverse:
Formed By: Negating both the Hypothesis and conclusion of the conditional.
Symbols: ~p →~q
Examples: If two angles do not have the same measure they are not congruent.
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Forms of Conditional Statements
Contra - positive:
Formed By: Negating both the Hypothesis and conclusion of the Converse statement.
Symbols: ~q →~p
Examples: If two angles are not congruent then they do not have the same measure.
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Logically Equivalent Statements - are statements with the same truth values.
Example: Write the converse, inverse and contra - positive of the following statement:
Conditional: If a shape is a square, then it is a rectangle.
Converse: If a shape is a rectangle, then it is a square.
Inverse: If a shape is not a square, then it is not a rectangle.
Contra-positive: If a shape is not a rectangle, then it is not a square.
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Try This:
Example: Write the converse, inverse and contra - positive of the following statement:
Conditional: If two angles form a linear pair, then they are supplementary.
Converse:Inverse:Contra – positive:
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Assignments
Classwork: WB: pg 39 - 40 all
Homework: pg 93-95 6-24 even, 28, 32-34, 43-45