Geometry Concepts

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Inductive reasoning

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Forming a conclusion based on a set of observations or patterns.

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Counterexample

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A specific example that disproves a proposed geometric statement by making a case it is not true.

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Conditional Statement

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A statement that expresses a relationship between 2 geometric concepts. 'If (hypothesis), then (conclusion)'.

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Converse

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Reversing the ifs and then’s of a theorem.

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Equivalent Statements

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Two statements that have the same truth. If one statement is true, the other must be true.

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Perpendicular Lines

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A line that intersects another line at a 90-degree angle. Two lines meet at a perfect corner.

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Biconditional Statement

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A statement that shows a relationship between 2 geo concepts. If and only if, both statements must be true for the statement to be valid.

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Deductive Reasoning

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Process of using geo facts to logically derive new conclusions.

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Proof

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Logical sequence of statements based on known facts used to show truth.

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Two-Column Proof

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A method of presenting a logical argument. Statements in one column and reasoning in separate columns.