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DAILY - Quiz

DAILY - Quiz. Given: Collinear points X, Y, Z ; Z is between X and Y. Conjecture : XY + YZ =XZ Determine if the conjecture is true or false. Give a counterexample if false . 2.2 Conditional Statements. Learning Objective: SWBAT

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DAILY - Quiz

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  1. DAILY - Quiz Given: Collinear points X, Y, Z ; Z is between X and Y. Conjecture: XY + YZ =XZ Determine if the conjecture is true or false. Give a counterexample if false.

  2. 2.2 Conditional Statements Learning Objective: SWBAT 1. Write conditional statements in the form “If ____, then ____” 2. Write the inverse, converse, and contrapositive of a conditional statements.

  3. KEY TERMS: Conditional Statements – A logical statement that has two parts, a hypothesis and a conclusion. A conditional Statement is a statement that can be written in the form “if p, then q.”

  4. If-then form: A form of a conditional statement in which the IF part contains the HYPOTHESIS (p) and the THEN part contains the CONCLUSION (q). HYPOTHESIS: is the IF part of a conditional statement. Label p. CONCLUSION: is the THEN part of a conditional statement. Label q.

  5. Example #1: Identify the parts of a conditional statement. Identify the hypothesis & conclusion. (A.) If two angles are adjacent, then the angles share a common vertex, a side and no common interior points. HYPOTHESIS: two angle are adjacent. CONCLUSION: the angles share a common vertex, a side and no common interior points.

  6. Example #1: Identify the parts of a conditional statement. Identify the hypothesis & conclusion. (B.) A number is a rational number ifit is an integer. HYPOTHESIS: a number is an integer. CONCLUSION: the number is a rational number. Note: The words, “when”, “whenever”, “because”, “after”, “every time”, “each” and “if” often give away the hypothesis of a conditional statement.

  7. Example #1: Identify the p and q, then write an IF-THEN form: (C.) A number is divisible by 3 if it is divisible by 6. If p, then q. If a number is divisible by 6, then the number is divisible by 3. q p

  8. Example #2: The outer oval represents the conclusion Write a conditional statement. q birds Blue Jays The inner oval represents the hypothesis p

  9. Example #2: Write a conditional statement. birds If an animal is a Blue Jay, then it is a bird. Blue Jays

  10. Example #3: Write a conditional statement. X< -4 X< -1 X< -1 If _________, then _____. X< -4

  11. Example #4: Write a conditional statement. If ___, then ___. “All triangles have 3 sides.” If a figure is a triangle, then it has 3 sides.

  12. Assignment 2.2 Summary: Conditional statements If ____, then _____. Worksheet 2.2 Part 1 (1 - 18)

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