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geometry 1
Term | Definition |
---|---|
point | a location that has no size |
line | a straight path that extends in opposite directions with no end |
plane | infinite number of points and lines and a flat surface that extends without end and has no thickness |
segment | the section of a line that consists of two endpoints and all the rays between them |
ray | a piece of a line that includes one endpoint and all the points of the line on one side of the endpoint |
opposite rays | two rays with that share a common endpoint and are on the same line |
angle | formed by two rays with the same endpoint each ray=one side of the angle; common endpoint=vertex |
law of syllogism | a law of logic that states that, given two true conditionals with the conclusion of the first being the hypothesis of the second, there exists a third true conditional having the hypothesis of the first and the conclusion of the second |
law of detachment | a law of logic that states if a conditional statement and its hypothesis are true, then its conclusion is also true |
inductive reasoning | leads to a conjecture by observing patterns; uses specific examples to make a generalization; does not show that a conjecture is true, so a conjecture could be disproven by a counterexample |
conditional | an IF-THEN statement that relates a hypothesis to a conclusion |
hypothesis | the part that follows IF |
conclusion | the part that follows THEN |
converse | reverses the hypothesis and the conclusion of a conditional |
negation | has the opposite meaning of the original statement |
inverse | obtained by negating both the hypothesis and the conclusion of a conditional |
contrapositive | obtained by negating and reversing both the hypothesis and the conclusion of a conditional |