Download Geometry Inductive Reasoning and Conditional Statements

Geometry
Inductive Reasoning and Conditional Statements
Conjecture – An _______________ statement that is based on _____________________
Inductive Reasoning – Finding a _________________ in specific cases and using the
pattern to write a _______________________________.
Counterexample – A ____________________ case for which the conjecture is _____________.
Example 1
Sketch the fourth figure in the pattern.
Example 2
Describe the pattern in the numbers –7, -21, -63, -189, … and write the next three numbers in the
pattern.
Example 3
Given five collinear points, make a conjecture about the number of ways to connect different
pairs of the points.
Example 4
A student makes the following conjecture about the difference of two numbers. Find a
counterexample to disprove the students conjecture:
The difference of any two numbers is always smaller than the larger number
Conditional Statement – A ____________________________________ that has two
parts, a ______________________ and a _______________________.
Equivalent statements – When two statements are both _____________ or both _____________
Perpendicular Lines – Two lines that ____________________ to form ____________________.
Example 5
Rewrite the conditional statement in if-then form, identify the hypothesis and conclusion. Then
write the converse, inverse, and contrapositive of the statement.
Two angles are supplementary if they are a linear pair.