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Geometry-Chapter 2
Geometry-Chapter 2 Vocabulary
| Question | Answer |
|---|---|
| an unproven statement that is based on observations | conjecture |
| a process that includes looking for patterns and making conjectures | inductive reasoning |
| a specific case that shows a conjecture is false | counterexample |
| a type of logical statement that has two parts, a hypothesis and a conclusion | conditional statement |
| the statement formed by exchanging the hypothesis and conclusion of a conditional statement | converse |
| the equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement | contrapositive |
| the statement formed by negating the hypothesis and conclusion of a conditional statement | inverse |
| the form of a conditional statement that uses the words "if" and "then". The "if" part contains the hypothesis and the "then" part contains the conclusion. | if-then form |
| the opposite of a statement | negation |
| two statements that are both true or both false | equivalent statement |
| two lines that intersect to form a right angle | perpendicular lines |
| a statement that contains the phrase "if and only if" | biconditional statement |
| a process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument | deductive reasoning |
| a logical argument that shows a statement is true | proof |
| a type of proof written as numbered statements and corresponding reasons that show an argument in a logical order | two-column proof |
| a statement that can be proven | theorem |
| If the hypothesis of a conditional statement is true, then the conclusion is also true. | Law of Detachment |
| This law of logic allows you to draw conclusions from two conditional statements when the conclusion of one is the hypothesis of the other. | Law of Syllogism |
| A rule or statement that is accepted as true without proof. | postulate |
| A mathematical sentence formed by placing the symbol “=” between two expressions. | equation |
| Equations that have the same solutions. | equivalent equations |
| Two adjacent angles whose non-common sides are opposite rays. | linear pair |
| Two angles whose measures have the sum of 90°. | complementary angles |
| Two angles whose measures have the sum of 180°. | supplementary angles |
| Two angles whose sides form two pairs of opposite rays. | vertical angles |
Created by:
aelohaus
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