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geomatry midterms
| Term | Definition |
|---|---|
| line | goes on forever |
| line segmant | start and end point |
| ray | has one end point, can go on forever |
| plane | a flat surface, 2 dimensional |
| 0 dimensional | point |
| 1 dimensional | line |
| 2 dimensional | plane |
| 3 dimensional | space |
| intersect | when 2 lines cross over each other |
| collinear | 2 or more points on the same line |
| coplaner | 2 or more points on the same plane |
| congruent | same size, same shape, same length |
| congruent segmant | a line that is he same length |
| midpoint | the middle of an intersect |
| bisector | a line segment cut in half |
| postulate | basic assumptions that are not proven |
| theorm | basic assumptions that are proven |
| vertex | point were two sides of an angle intersect |
| acute angle | measure between 0 and 90 |
| right angle | measure of 90 |
| obtuse angle | measure between 90 and 180 |
| straight angle | measure of 180 |
| adjacent angles | two or more angles next to each other |
| complementary angles | two angles that have the sum of 90 |
| supplementary angles | two angles that have the same sum of 180 |
| vertical angles | 2 congruent angles that share a vertex and have opisite sides |
| perpendicular lines | two lines that intersect to create a 90 degree angle |
| addition property | rule regarding addition to prove a statement |
| subtraction property | rule regarding subtraction to prove a statement |
| multiplication property | rule regarding multiplication to prove a statement |
| division property | rule regarding division to prove a statement |
| distributive property | rule regarding distributing to prove a statment [ 5 (x+y) = 5x +5y] |
| substitution property | if A = B than either A or B can be substituted for the there in a different equation. |
| reflexive property | when something equals itself |
| symmetric property | if A = B than B= A |
| transitive property | if A is congrent B and B is congruen C then A is congruent C |
| defintion of midpoint | A point on a line segment that divides it into two equal parts |
| defintion of segmant bisector | a line that is cut in half |
| definition of angle bisector | an angle that is cut in half |
| segment addition postulate | the measure of two lines added together |
| angle addition postulate | the measure of two angles added together |
| midpoint theorm | the midpoint to the endpoint is equal to the mid point to the opposite end point |
| parallel lines | two lines on the same plane that will never intersect |
| biconditional | if and only if statement |
| converse | in a if, then statement, interchanging the hypothesis and conclusion |
| conclusion | the then statement |
| hypothesis | the if statement |
| non-colinear | two or more points not on the same line |
| non-coplanar | two or more points not on the same plane |
| cordinate | number assigned to a specific location |