070911 Conditionals

 

Name:_____________Pd._______

 

 

Read the following statements:

 

  1. If two lines intersect to form right angles, then they are perpendicular.

 

  1. If two lines are perpendicular, then they intersect to form right angles.

 

  1. If a figure is a square, then it has 4 sides.

 

  1. If a figure has 4 sides, then it is a square.

 

  1. If x+3 = 12, then x = 9.

 

  1. If x = 9, then x+3 = 12.

 

  1. If an animal is a dog, then it is a mammal.

 

  1. If an animal is a mammal, then it is a dog.

 

  1. If x = 5, then x^2 = 25.

 

  1. If x^2 = 25, then x = 5.

 

 

What features does each statement above share?

 

 

 

Is each statement true?  If not, then prove it false.

 

 

 

 

 

 

Take another look at the statements.  What other feature do you notice?

 

 

 

 

 

 

070911 Conditionals

                  Name:___________Pd._____

 

Now you tryÉ

 

Identify the hypothesis and conclusion of each conditional

 

  1. ŇIf my fans think that I can do everything I say I can do, then theyŐre crazier than I amÓ—Muhammad Ali.

 

 

  1. If two lines are parallel, then the lines are coplanar.

 

 

Write each statement as a conditional.  Then write itŐs converse.  Determine the truth value of each. 

 

  1. Two intersecting lines meet in exactly one point.

 

 

  1. Two intersecting planes meet in exactly one line.

 

 

  1. Through any two points there is exactly one line.

 

 

  1. Through any three noncollinear points there is exactly one plane.

 

 

  1. Whole numbers that have 2 as a factor are even.

 

 

  1. Obtuse angles have a measure greater than 90deg. 

 

 

Write a conditional statement and itŐs converse as described below: (these need to be new and not have been covered in the lesson)

 

  1. Both conditonal and converse are true.

 

 

  1. One is true; one is false

 

 

 

  1. Both are false.