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Geometry Vocabulary
Geometry Vocabulary 10/06
| Term | Definition |
|---|---|
| Set | collection of objects grouped in some way |
| Point | may be represented as a dot; it has no dimensions; it has no size; it only shows position |
| Line | a line may be treated as a set of points either curved or straight; a straight line may be considered an infinite set of points extending indefnitely in 2 opposite directions; a line has no endpoints, no width, no length |
| Straight Line | a straight line may be considered an infinite set of points extending indefnitely in 2 opposite directions; a line has no endpoints, no width, no length; it may represented in 2 ways - Naming 2 points on it (use capital letters), or use a small letter |
| Plane | may be considered as a set of points forming a completely flat surface extending indefinitely in all directions; a plane has no thickness; it may be represneted by a capital letter. "Plane P |
| Number Line | a straight line each of whose points can be associated with a real number |
| DIstance between 2 Points | on the real number line is the absolute value of the difference of the coordinates os the two points |
| Collinear Set of Points | a set of points all of which lie on the same straight line |
| Betweeness of Points on a Line | If A, B, and C are collinear points, such that AB+BC=AC, then B is between A and C |
| Line Segment | a line segment or segment is a set of points on a line called endpoints, and the set of all points on the line bewteen the end points |
| Half Line | the set of all the points in a line on the same side of a dividing point, not including the dividing point |
| Ray | is the set of all point in a half line including the dividing point which is called the Endpoint of the Ray |
| Length of a Line Segment | is the distance between its endpoints |
| Congruent segments | are segments that have the same length |
| Midpoint of a Line Segment | is the point of that line segment that divides the segment into two congruent segments |
| Segment is Bisected at a Point | if the point is the midpoint of the line segment |
| Bisector of a line segment | divides the segment into 2 congruent segments |
| Angle | is a set of points which is the union of 2 rays having the same ednpoint |
| Straight Angle | if the two rays that form an agle are opposite rays, the angle is a straight angle |
| Right Angle | is an angle whose measure is 90 degrees |
| Straight angle | is an angle whose meaures is 180 degrees |
| Acute angle | is an angle whose measure is between 0 and 90 degrees |
| Obtuse angle | an angle whose measure is bewteen 90 and 180 degrees |
| Reflex Angle | is an angle whose measure is between 180 and 360 degrees |
| Congruent angles | are angles which have the same measure |
| Angle bisector | divides an angle into two congruent angles |
| Adjacent angles | are two angles in the same plane which have a common vertex, a common side, but do not have any interior points in common |
| Vertical angles | are two angles which have a common vertex and whose sides are two pairs of opposite rays |
| Complementary angles | are two angles the sum of whose measures is 90 degrees |
| Supplementary angles | are two angles the sum of whose measures is 180 degrees |
| Linear Pair | 2 abgles with a common side and whose non-common sides are a pair of opposte rays |
| Perpiindicular Lines | 2 lines which intersect and form right angles |
| Perpindicular Bisector of a line segment | a line, line segment or a ray which is perpendicular to the line segment and bisects the line segment |
| Polygon | a closed figure us a plane which is the union of line segments |
| Triangle | a polygon that has 3 sides |
| Scalene Triangle | triangle with no congruent sides |
| Isosceles Triangle | a triangle with 2 congruent sides |
| Equilateral Triangle | a triangle with 3 congruent sides |
| Acute Triangle | a triangle with 3 acute angles |
| Equiangular Triangle | a triangle with 3 congruent angles |
| Right triangle | a triangle that has a right angle |
| Obtuse triangle | a triangle that has a obtuse angle |
| Altitude of a Triangle | a line segment drawn from any vertex of the triangle, perpendicular to and ending in the opposite side |
| Median of a Triangle | bisects the side to which it is drawn |
| Angle Bisector | divides an angle into 2 congruent angles |