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geometry chapter 1
chaoter 1 only
| Term | Definition |
|---|---|
| point | A dot in a specific location with no dimension |
| line | A straight path with no thickness that continues in both directions |
| plane | a flat surface with no thickness and extends forever |
| line segment | portion of a line consisting of 2 points |
| ray | a portion of a line that starts at a point and continues forever in 1 direction |
| parallel | Lines that lie on the same plane but do not intersect |
| coplaner | Points that lie on the same plane |
| collinear | Points that lie on the same line |
| postulate | a statement that is accepted as true without proof |
| segment addition postulate | if B is between A and C then AB+BC = AC |
| distance formula | (x2-x1)2+(y2-y1)2 |
| midpoint | The point that divides the line segment into two segments that have the same length |
| segment bisector | A line, ray, or other figure that passes through the midpoint of a segment |
| angle | figure formed by 2 rays with the same endpoint |
| vertex | common end point |
| rays of angle | side of the angle |
| degrees | common measurement for circular arcs |
| right angle | 0<m<A<90 |
| acute angle | m<A=90 |
| obtuse angle | 90 <m<A<180 |
| straight angle | m<A = 180 |
| angle bisector | a ray that divided an angle into two angles that both have the same measure |
| angle addition postulate | if S is interior of <PQR then m<PQR=m<PQS + m< SQR |
| transformation | a function that changes the position shape and/or size of a figure |
| preimage | A figure that is used as the input of a transformation |
| image | The output |
| rigid motion | a transformation that changes the position of a figure witnout changing the size or shape of the figure |
| conjecture | a statement that is believed to be true |
| Inductive reasoning | The process of reasoning a rule or statement may be true by looking at specific cases |
| deductive reasoning | the process of using logic to prove whether all cases are true |
| theorem | A statement that you can prove is true using a series of logical steps |
| counterexample | an example that shows a conjecture to be false |
| conditional statement | a statement that can be written in the form "if p then q" where p is hypothesis and q is the conclusion |
| linear pair | A pair of adjacent angles whose non common sides are opposite rays. |
| addition property | if a=b then a + c = b + c |
| subtraction property | if a = b then a - c = b - c |
| multi property | if a = b then ac = bc |
| division property | if a = b and c = 0 then a/c = b/c |
| Reflexive property | a = a |
| Symmetric property | If a = b then b = a |
| transitive property | if a = b and b = c then a = c |
| substitution property | if a = b then b can be substituted for a in any expression |
| The linear Pair Theorem | if two angles form a linear pair then they are supplementary m<3 + m<4 = 180 |
Created by:
user-1713612
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