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35-65vocab
| Question | Answer |
|---|---|
| hypothesis | the if part of a conditional statement |
| conclusion | the then part of a conditional statement |
| when is a conditional statement true? | the conclusion must be true whenever the hypothesis is true |
| when is the conditional statement false? | only when the hypothesis is true but the conclusion is false |
| converse | the result of interchanging the hypothesis and the conclusion of a conditional statement |
| inverse | the result of negating the hypothesis and the conclusion of a conditional statement |
| contrapositive | the result of negating and then interchanging the hypothesis and the conclusion of a conditional statement |
| negation | the opposite of the original |
| law of detachment | when given a true conditional statement and you know the hypothesis is true then the conclusion must also be true |
| chain rule | links two true conditional statements-- can be used only if the hypothesis of one statement is the conclusion of the other |
| plane | flat surface with infinite length and width but no thickness, named by a single capital letter |
| coplaner points | points that lie in the same line |
| biconditional statement | a statement that combines a conditional and its converse when both are true by using the connector phrase if and only if |
| midpoint | a point that divides a segment into two congruent segments |
| reflexive property | a=a |
| symmetric property | if a-b then b=a |
| transitive property | if a=b and b=c then a=c |
| addition property | if a=b then a+c=b+c |
| multiplication property | if a=b then ac=bc |
| associative property | a+(b+c)=(a+b)+c |
| commutative property | a+b=b+a |
| distribution property of multiplication and division | a(b+c)=ab+ac |
| space | the set of all points |
| points existence postulate | space contains at least 4 noncoplanar points every plane contains at least 3 noncollinear points every line contains at least 2 points |
| staright-line postulate | two points are contained in one and only one line |
| plane postulate | three noncollinear points are contained in one and only one plane |
| flat plane postulate | if two points are in a plane then the line containing the points is in the same plane |
| plane intersection postulate | if two planes intersect then their intersection is a line |
| segment addition postulate | point B is between points A and C if and only if A,B and C are collinear and AB+BC=AC |
| if M is the midpoint if AB then AM=1/2 AB | |
| midpoint formula | on a coordinate plane the midpoint of the segment with endpoints (x1y1) and (x2 y2) has coordinates |
| parallel lines is parallel to symbol | coplaner lines that do not interssect |
| skew lines | noncoplanar lines |
| slopes of parallel lines | slopes are equal |
| slopes of perpendicular lines | the product of their slopes equals |
Created by:
user-1983923