Geo 2.2 notes

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The converse, inverse, negation, and contrapositive of statements.

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Geo 2.2 notes

  1. 1. 2.2: Biconditional Statements5.4: Contrapositive StatementsEssential Question:What are the various "transformations" of a conditional statement? 1
  2. 2. Whats a Biconditional Statement?? Biconditional: when a conditional  statement and its converse are true Contains "if and only if"Two lines are perpendicular if and only if they form 4 right angles. 2
  3. 3. Ex. 1)  Write as a biconditional statement.If two angles have the same measurement, then they are congruent. 3
  4. 4. Ex. 2) Write the biconditional statement as two separate statements.A number is divisible by 3 if and only if the sum of the digits is divisible by 3. If a number is divisible by 3, then the sum of the digits is divisible by 3.If the sum of the digits is divisible by 3, thenthe number is divisible by 3. 4
  5. 5. 5.4 Inverse andContrapositive 5
  6. 6. Conditional Statement:negation:Inverse:Contrapositive: 6
  7. 7. Write the converse, negation, inverse, and contrapositive of the statement below: If I score advanced on the STAR test, I get  out early for lunch next year. If I get out early for lunch next year, then I scored advanced on  the STAR test. I dont score advanced on the STAR test. If I dont score advanced on the STAR test, then I dont get out  early for lunch next year. If I dont get out early for lunch next year, then I didnt score  advanced on the STAR test. 7
  8. 8. Write the converse, negation, inverse, andcontrapositive of the following statement.If ΔABC is equilateral, then it is isosceles. 8
  9. 9. Assignment:Write 5 conditional statements and find:­ converse­ negation­ inverse­ contrapositive 9

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