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2.3 Definitions

2.3 Definitions. Obj : To understand what it means to be a definition and write biconditional statements. Flopper or Not a Flopper. Definitions need to be specific and concise. Look at page 99 in your textbook. Look at cards 1 and 2: With your group write a definition for a flopper.

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2.3 Definitions

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  1. 2.3 Definitions Obj: To understand what it means to be a definition and write biconditional statements

  2. Flopper or Not a Flopper Definitions need to be specific and concise Look at page 99 in your textbook. Look at cards 1 and 2: With your group write a definition for a flopper

  3. Trade definitions with another group • Look at card 3, which letters would be considered floppers by their definition?

  4. Return to original group. • Group: Did they pick the letters you thought they would?

  5. For definitions the conditional statement and converse are always both true. Biconditional: When the hypothesis and conclusion are joined by the statement “if and only if”. If and only if = _________ *Use when both the ________________ and ____________________ are true.

  6. Example • Conditional: If 2 angles are supplementary, then the sum of their measures is 180. • Converse: _________________________ ___________________________________ • Both the conditional and converse are true so write the biconditional • Biconditional _______________________ ___________________________________

  7. Definitions and Biconditionals • If a statement is a definition then the biconditional MUST be true Ex: Acute angles are angles with a measure between 0° and 90°. Conditional: If it is an acute angle, then the measure is between 0° and 90°. Converse: If the measure of an angle is between 0° and 90°, then the angle is acute. * Both the conditional and converse are true therefore it is a definition

  8. Activity 2 Adjacent angles angles in a plane that have their vertex and one side in common, but have no common interior points.

  9. Below are Definitions Write the definition as a conditional, then write the converse of each conditional A square is a quadrilateral with 4 congruent sides and 4 congruent angles. If it is a square, then it has 4 congruent sides and 4 congruent angles. If it has 4 congruent sides and 4 congruent angles then it is a triangle. A right angle is an angle whose measure is 90 degrees. If it is a right angle, then its measure is 90 degrees. If an angle’s measure is 90 degrees, then it is a right angle.

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