Inductive and Deductive Reasoning Geometry 1.0 – Students demonstrate understanding by identifying...
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Inductive and Deductive Reasoning
Geometry 1.0 – Students demonstrate understanding by identifying and giving examples of inductive and
deductive reasoning . Geometry 3.0 – Students construct and judge the
validity of a logical argument and give counterexamples to disprove a statement.
Deductive Reasoning – (Logical Reasoning) is the process of reasoning logically from given statements to a conclusion.
Inductive Reasoning – is reasoning that is based on patterns you observe.
384, 192, 96, 48, …
Given: If A is acute, mA < 90. Then we can say that A is acute.
If a quadrilateral is a square, then it contains four right angles.
If a quadrilateral contains four right angles, then it is a
rectangle.
The Law of Syllogism: If p q and q r are true, then p r is a true statement.So you can conclude: If a quadrilateral is a square, then it is a rectangle.
• A Counterexample to a statement is a particular example or instance of the statement that makes the statement false.
Any perfect square is divisible by 2.
Counterexample – 25 is a perfect square and 25 is a perfect square and isn’t divisible by 2. isn’t divisible by 2.