3. Conditional Statements http://www. youtube. com/watch
SOL: G.1a
SEC: 2.3

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
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 hypothesis is the given information, or the condition.
The conclusion is the part of an if-then statement that follows “then” (Usually denoted q.)
The conclusion is the result of the given information.
Lesson 2-1 Conditional Statements

6. Example
Write 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.

7. Example
Identify the Hypothesis and Conclusion in the following statements:
If a polynomial has six sides, then it is a hexagon.
H: A polygon has 6 sides C: it is a hexagon
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

8. 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.

9. 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.

10. 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.

11. 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.

12. 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.

13. 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:

14. Assignments
Classwork: WB: pg all Homework: pg even, 28, 32-34, 43-45