Conditional Statementshttp://www.youtube.com/watch?v=Wnc3_AekOno&feature=related

http://www.youtube.com/watch?v=vzuaHRJAHuQ

SOL: G.1aSEC: 2.3

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

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.

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.

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

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.

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.

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.

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.

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.

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:

Assignments

Classwork: WB: pg 39 - 40 all

Homework: pg 93-95 6-24 even, 28, 32-34, 43-45