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Geo Chapter 2 Voc
Geometry
| Question | Answer |
|---|---|
| An unproven statement that is based on observations | Conjecture |
| Determining a pattern in specific cases and then writing a conjecture for the general case | Inductive reasoning |
| A specific case for which a conjecture is false | Counterexample |
| A logical statement that has two-parts a hypothesis and a conclusion | Conditional statement |
| Most common way to write conditionals | If-then form |
| Beginning part of a conditional | Hypothesis |
| Ending part of a conditional | Conclusion |
| A statement that is opposite the original statement | Negation |
| Exchanging the hypothesis and conclusion of a conditional | Converse |
| Negating both the hypothesis and conclusion of a conditional statement | Inverse |
| Writing the converse of the conditional and then negating both the hypothesis and conclusion | Contrapositive |
| When two statements are true or when two statements are false | Equivalent Statements |
| Two lines intersecting to form a right angle | Perpendicular lines |
| When both the conditional and converse are true | Biconditional statements |
| Uses facts, definitions, accepted properties, logic, and rules to form a logical argument and reach a conclusion | Deductive Reasoning |
| A statement involving the word and | Conjunction |
| With a conjunction, what part of a venn diagram is shaded? | Only the overlapping region of both circles |
| A statement involving the word or | Disjunction |
| When one event or another event can be true but not both | Exclusive Disjunction |
| When one event, another event, or both events could be true | Inclusive Disjunction |
| With an exclusive disjunction, what part of a venn diagram is shaded? | Both circles, but not the overlapping |
| With an inclusive disjunction, what part of a veen diagram is shaded? | Both circles and the overlapping |
| A line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point | Line Perpendicular to a Plane |
| A logical argument that shows a statement to be true | Proof |
| Consists of numbered statements and corresponding reasons that show an argument in logical order | Two-column proof |
| A statement that can be proven | Theorem |
Created by:
warnockj
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