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Definition
a logical statement with two parts, a hypothesis and conclusion.
Represented by: p --> q |
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a way a conditional statement can be written.
if = hypothesis = p
then = conclusion = q |
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a conditioned statement formed by switching the hypothesis and conclusion.
Represented by: q --> p |
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| to write the negative of a statement. When you negate the hypothesis and conclusion, a "~" symbol appears before the "p" or "q". |
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when you negate the hypothesis and conclusion of a statement.
Represented by: ~p --> ~q |
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when you negate the hypothesis and conclusion of the converse of a conditional statement.
Represented by: ~q --> ~p |
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| when 2 statements are both true or false. |
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| Through any two points there exists exactly one... |
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| a line contains at least two... |
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| if two lines intersect, then their intersection is exactly... |
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| through any three ______ points there exists exactly one plane. |
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| A plane contains at least three ____ points. |
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| if two points lie on a plane, then the line containing them... |
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| if two planes intersect, then their intersection is... |
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| two lines that intersect to form a right angle |
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| line perpendicular to a plane |
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| a line that intersects a plane in a point and is perpendicular to every line in the plane that intersects it |
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Definition
a statement that contains the phrase "if and only if". They are true only when the conditional and converse are true.
Represented by: p <--> q |
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Definition
| If p --> q is a true conditional statement and p is true, the q is true. |
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| If p --> q and q --> r are true conditional statements, then p --> r is true. |
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| If a = b, then a + c = b + c |
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| If a = b, then a - c = b - c |
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If a = b and c DOES NOT = 0, then a / c = b / c.
/ = divided by |
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Definition
| For any real number a, a = a |
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| If a = b and b = c, then a = c |
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