| A | B |
|---|
| undefined terms | not objects, explained using examples and descriptions |
| point | a location |
| line | made up of points; has not thickness |
| collinear | points on the same line |
| plane | flat surface made up of points |
| coplanar | points that lie on the same plane; no depth; infinite |
| There is exactly 1 plane... | through any three noncollinear points |
| line segment | has end points; can be measured |
| precision | depends on the smallest unit available on the measuring tool |
| betweenness of points | arithmetic operations can be used w/measurements of collinear points - like between point A and B |
| constructions | methods of creating geometric figures without measuring tools |
| absolute error | the absolute value of the difference between the actual measurement of an object and the allowable measure |
| accuracy | an indication of error |
| relative error | the ratio of the absolute error to the actual measure - expressed as a percent |
| significant digits | represents the accuracy of a measurement |
| There is exactly one line... | through any two points |
| space | the boundless, three-dimensional set of all points |
| midpoint of a segment | divides a segment into two congruent segments |
| segment bisector | a line or plane that intercepts a segment at its midpoint |
| degree | a measurement of an angle |
| ray | part of a line with one endpoint |
| opposite rays | the two rays taken from the same line defined by a common endpoint |
| angle | the shape formed by two noncollinear rays with a common endpoint |
| sides | the rays defining an angle |
| vertex | the common endpoint of the rays defining an angle |
| adjacent angles | share a side annd vertex but no interior points |
| vertical angles | nonadjacent angles formed by intersecting lines |
| linear pair | adjacent angles with noncommon sides that are opposite rays |
| complementary angles | have a sum of 90 degrees |
| supplementary angles | have a sum of 180 degrees |
| perependicular | lines, line segments or rays that intersect to form right angles |
| what's special about adjacent angles | they are congruent |
| polygon | a closed figure all of whose sides are line segments |
| n-gon | a polygon with n sides |
| regular polygon | all sides equal |
| convex polygon | none of the lines forming the sides have points on the interior of the polygon |
| concave polygon | some interior points lie on a line forming a side |
| perimiter | sum of the lengths of the sides of a polygon |
| circumference | distance arount a circle |
| area | the number of square units needed to cover a figure |
| polyhedron | a solid with flat surfaces that enclose a single region of space |
| face | a flat surface of a polyhedron |
| edge | line segment where faces of a polyhedron intersect |
| prism | polyhedron with two parallel congruent faces |
| bases | the parallel congruent faces of a prisn |
| pyramid | polyhedron with all faces but one intersecting at one vertex |
| regular polyhedron | all faces are regular and congruent |
| how many regular polyhedrons are there | 5 |
| platonic solids | the regular polyhedra |
| cylinder | a solid with congruent parallel circular bases |
| code | has a circular base and a vertex |
| sphere | a set of all points in space a given distance from a particular poine |
| surface area | the sum of the areas of each surface of a solid |
| volume | the amount of space enclosed by a solid |
| volume of a prism | B * h |
| volume of a pyramid | 1/3 B * H |
| volume of a cylinder | Pie * r^2 * h |
| volume of a cone | 1/3 Pie * r^2 * h |
| acute angle | less than 90 degrees |
| obtuse angle | more than 90 degrees |
| congruent | having the same measure |
