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									        Topic 2.12
Reasoning and Conditionals
Topic 2.12 Reasoning and Conditionals


Review:
Inductive reasoning uses ____________ to make a ________.

If a conjecture is false, you must give a ________-_________.


Practice:
Determine if the conjecture is true or false. If it is false,
   give a counterexample.
   Given: collinear points X, Y, & Z. Z is between X & Y.

   Conjecture: XY + YX = XZ


Write a conjecture based on the given information.
  Given : angle 1 and angle 2 are adjacent
  Conjecture:________________________________
  Given: 1& 2 are supplementary angles
          1& 3 are supplementary angles


   Conjecture:________________________________
Topic 2.12 Reasoning and Conditionals

Statements written in the ____-_______ format are called

___________________ statements, or _______________.

There are two parts to a conditional statement. They are:

1)

2)

EX 1 If you give a pig a pancake, then she’ll want
     some syrup to go with it.

The HYPOTHESIS is ______________________________
                                          Underline it once.
The CONCLUSION is
    ______________________________
_______________________________. Underline it twice.
Sometimes you must add words to a statement when you
write it in if-then form so that it will be grammatically
correct.
Conditionals have a symbolic way of being written.
Letting p = hypothesis and q = conclusion, we can write
the general form of a conditional as p  q .
The  stands for the word ___________________.
Topic 2.12 Reasoning and Conditionals


Let’s write our own conditionals.
EX. 2    People from Friendswood live in Texas.



EX. 3     Perpendicular lines intersect.


You can form another if-then sentence by switching the

hypothesis and the conclusion. When you do this, the new

sentence formed is called the _______________.

Symbolically, this would be written as _______________.

EX 4      Write the following sentence as an if-then
          statement and then write its converse.

An angle of 40 is acute.

Conditional:______________________________________

Converse: _______________________________________

								
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