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Chapter 8 vocab
Williams 7c
| Term | Definition |
|---|---|
| Converse | If you reverse parts of the Pythagorean theorem, you have performed its converse. |
| Deductive reasoning | Using facts, rules, definitions, or laws to make conjectures from given situations. |
| Distance formula | The distance d between two points with coordinates (x1-y1) and (x2-y2) is given by finding the square root of (x2-x1)^2 + (y2-y1)^2 =d |
| Formal proof | Statements and reasons organized into two columns. |
| Hypotenuse | The side opposite the right angle. It is the longest side of the triangle. |
| Inductive reasoning | The process of making a conjecture after observing several examples. |
| Informal proof | A paragraph proof. |
| Legs | The sides that form a right angle. |
| Paragraph Proof | Writing a paragraph to explain why a conjecture is true. |
| A Proof | A logical argument where each statement is justified with a reason. |
| Pythagorean theorem | Describes the relationship between the lengths of the legs and the hypotenuse for any right angle. |
| Theorem | Once a statement or conjecture has been proven it is called a theorem. |
| Two-Column proof | Formal proof organized into two columns.Each step is called a statement. |