click below
click below
Normal Size Small Size show me how
Geometry
Chapter 1
Question | Answer |
---|---|
coordinate plane | a plane for which two perpendicular number lines that intersect at their zero points have been used to match the points of the place one-to-one with ordered pairs of numbers |
ordered pair | a pair of numbers given in a specific order. ordered pairs are used to locate points on a plane. |
collinear points | points that lie on the same line. |
noncollinear points | points that do not lie on the same line. |
plane | a basic undefined term of geometry. planes can be thought of as flat surfaces that extend forever in all directions and have no thickness. in a figure a plane is represented by a parallelogram. |
line | a basic undefined term of geometry. lines extend indefinatly and have no thickness or width. in a figure a line is shown with arrows at each end. named by lowercase script letters |
point | a basic undefined term of geometry. points have no size. in a figure a point is represented by a dot. a point is named by a capital letter |
coplaner points | points that lie on the same plane, existing in the same plane, there can be lines or figures on the same plane. |
space | a boundless three-dimensional set of all points |
area of a rectangle | the formula for the area of a rectangle is A=LW. where A represents the area expressed in square units, L represents the length, and W represents the width |
area | the number of square units contained in the interior of a figure |
perimeter | the number of units around a figure |
perimeter of a rectangle | the formula for the perimeter of a rectangle is p=2W=2L, where p represents the perimeter, l represents the length of the rectangle, and w represents the width of a rectangle |
between | in general, B is between A and C if anf onlu if A, B, and C are collinear and AB+BC=AC |
measure | the length of AB, written as AB, is the distance between AB |
postulate | A statement that describes a fundamental relationship between the basic terms of geometry. postulates are accepted as true without truth. |
postualte 1-1(ruler postulate) | the points on any line can be paired with the real numbers so that, given any two points P and Q on the line, P corresponds to zero, and Q corresponds to a positive number |
distance | it is always positive, and on a number line the formula is d=/a-b/ |
postulate 1-2(segment addition postulate) | if Q is between P and R, then C. if |