Made by: Miyu, Em ^ ^
So many words in just one week.... O.o =( > . < )=
1.1 >epic cat> o o
Geometry: The branch of mathematics that defines and relates the basic properties and measurement of line segment and angles
Undefine Terms: Terms that we will accept w/o definition
4 terms we will accept w/o definitions are Set, Point, Plane and Line
Set: Collection of Objects such that is possible to determine whether a given object belongs to the collection or not
Point: A Geometric Point has no length, width, or thickness, only indicating a place or position
Line: A set of Points, Curved or Straight
Straight Line: A set of points that is straight (Aderf.) Unless otherwise stated, a line is straight
Plane: A set of Points that form a flat surface extending indefinitely in all direction
1.2
Number Line: A line where every point on the number line corresponds to a real number
Coordinate: Number that corresponds to a point in the line
Graph: A point which a number corresponds
Numerical Operation: Assign a real number to every pair of real number
Closure Property of Addition: a+b is a real number
Closure Property of Multiplication: a· b is a real number
Commutative Property of Addition: a+b=b+a
Commutative Property of Multiplication: a·b=b·a
Associative Property of Addition: a+(b+c)=(a+b)+c
Associative Property of Multiplication: a(bc)=(ab)c
Additive Identity: a+0=a and 0+a=a
Multiplicative Identity: 1a=a and a1=a
Additive Inverse: a+(-a)=0
Multiplicative Inverse: a· (1/a)=1
Distributive Property : a(b+c)= (ab+ac)
Multiplication Property of Zero: ab=0 if only a or b equal to 0
1.3
Collinear Set of Points:set of points all which lie on the same straight line
Noncollinear Set of Points: a set of 3 or more points that do not all lie on the same straight line
Definition:statement of the meaning of the term
Distance between 2 points on the real number line: the absolute value the difference of the coordinates of the 2 points AB=|a-b|-|b-a|
Betweeness: B is in between A and C
Line Segments/ Segment: A set of points consisting of 2 points on a line called endpoints and all of the points on the line between the endpoints
Length/ Measure of a line segment: Distance between its endpoints
Congruent Segments: Segments that have the same measure
1.4
Midpoint: Point on the Line that divides the segment into 2 rays (a+b)/2
Bisector of Line Segment: Any line or subset of line that intersects segment at midpoint
1.5
Half-line: Every point on a line divides the line into 2 opposite sets of the points
Rays:Point on line and all points on one side of the point of direction
Endpoints: Dividing Points
Opposite Rays: 2 rays of the same line w/ a common endpoint and no other points in common
Angle: Set of Points that is the union of 2 rays having same endpoints
Sides: Lines that form a angle
Vertex: Endpoint of Ray
Straight Angle: Angle that is Union of Opposite Rays
Interior of Angle: One region consisting all points
Exterior of Angle: All the other points except the points of the angle itself
Acute Angle: An angle whose degree measure is greater than 0 and less than 90
Right Angle: An angle whose degree measure is 90
Obtuse Angle: An angle whose degree measure is greater than 90 and less than 180
Congruent Angle: Angles with the same measure
Bisector of an Angle: A ray whose endpoint is the vertex of an angle and that divides that angle into two congruent angle
Perpendicular Lines: Two lines that intersect to form right angles
Distance from a Point to a Line: The length of the perpendicular from the point to the line
Foot: The Point which the perpendicular meets the line
Sum of Two Angle: (IF YOU DONT KNOW THIS I’M GOING TO KILL YOU TOMORROW)
Polygon: A close figure in a plane that is the union of line segments such that the segments intersect only at their endpoint and no segments sharing a common endpoint are collinear
Side: The polygon consist of 3 or more line segments. The line segments are sides
Triangle: A polygon that has exactly 3 sides
Scalene Triangle: A triangle that has no congruent sides
Isosceles: A triangle that has 2 congruent sides
Equilateral Triangle: A triangle with 3 congruent sides
Acute Triangle: A triangle with 3 acute angles
Right Triangle: A triangle with an right angle
Obtuse Triangle: A triangle that has an obtuse angle
Equiangular Triangle: Triangle that has 3 congruent angles
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