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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.