Warm Up 09.23.11 Week 6 1) write an equation that passes through the given point and y-intercept. ( 2, 1 ) ; b = 5.

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Presentation transcript:

Warm Up Week 6 1) write an equation that passes through the given point and y-intercept. ( 2, 1 ) ; b = 5

Geometry 2.2 Day 2 I will recognize and use definitions to rewrite statements. Rule 1 Statements must be first written in “if – then” form or biconditional form. If the statement or its converse is false you must give a counter example. Rule 2

Ex 1 Proper form? x = 3 if and only if x 2 = 9. Conditional Statement: Counter Example: Answer: Yes – biconditional. If x = 3, then x 2 = 9. Converse Statement: If x 2 = 9 then, x = 3. TrueFalse Conditional statement is true, but the converse is false because x can equal -3. Statement:

If two angles are adjacent, then they share a common side Adjacent Angles share a common side. If – then: Converse: If two angles share a common side, then they are adjacent. Biconditional: Two angles are adjacent if and only if they share a common side. Ex 2 Answer: FalseTrue Rule 3If the statement and its converse are true write it in biconditional form. Proper form:? No Statement:

Algebra Ex 3If 3x + 2 = x + 12, then x = 5. Proper form:? Yes Converse: If x = 5, then 3x + 2 = x + 12 Answer: FalseTrue Statement: Biconditional: 3x + 2 = x + 12 if and only if x = 5

Do: 1 Write as a biconditional statement: Assignment: Textbook Page 83, 29 – 43 ODDS. A rectangle is a square when it has four congruent sides. If the statement or its converse is false you must give a ______ ______. Review