Geometry Vocab
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Created by:
elijah0010 on October 11, 2012
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10/5/12
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88 terms
Terms | Definitions |
|---|---|
 Acute Angle | an angle less than 90 degrees but more than 0 degrees |
| Alternate Exterior Angles | Angles that lie outside a pair of lines and on opposite sides of a transversal. |
| Alternate Exterior Angles Converse | if two lines are cut by a transversal so that the alternate exterior angles are congruent, then the lines are parallel |
| Alternate Interior Angles Converse | if two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel |
| Alternate Interior Angles Theorem | if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent |
| Angle | A point and 2 line segments |
| Angle Addition Postulate | if point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC |
| Angle Bisection | Occurs when a ray bisects an angle |
| Angle of rotation | angle formed by rays drawn from the center of rotation to a point and its image |
| Area | the number of square units needed to cover a flat surface |
| Base Angles Theorem | if two sides of a triangle are congruent, then the angles opposite them are congruent |
| Between | The space between two points |
| Bisect | To cut into 2 equal pieces |
| Collinear (points) | points that lie on the same line |
| Compass | drafting instrument used for drawing circles |
| Complementary Angles | two angles whose sum is a right angle/90 degrees |
| Congruent | Having the same measure |
| Congruent Complements Theorem | if two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent |
| Congruent Supplements Theorem | if two angles are supplementary to the same angle (or to congruent angles) then they are congruent |
| Conjecture | reasoning that involves the formation of conclusions from incomplete evidence |
| Construction | drawing a figure satisfying certain conditions as part of solving a problem or proving a theorem |
| Legs of a right triangle | the sides that make up the 90 degree angle of a right triangle |
| Consecutive Interior Angles | angles that are on the same side of the transversal and inside the two lines |
| Consecutive Interior Angles Converse | if two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel |
| Coordinate | a number that identifies a position relative to an axis |
| Coplanar | lying in the same plane |
| Counterexample | an example that shows a conjecture is false |
| Definition | clarity of outline |
| Direction of a vector | Determined by the angle that the vector makes with a horizontal line. |
| Distance | the property created by the space between two objects or points |
| Distance Formula | d = √[( x₂ - x₁) + (y₂ - y₁)] |
| Endpoints | points on the ends of line segments |
| Equiangular | all angles are congruent |
| Hypotenuse | the side of a right triangle opposite the right angle |
| Inductive Reasoning | reasoning from detailed facts to general principles |
| Image | a copy of a Preimage by a translation, rotation, ect... |
| Initial Point of a Ray | The endpoint on a ray |
| Integers | -3, -2, -1, 0, 1, 2, 3 |
| Intersection | A point where two or more Lines, line segments, ect cross each other |
| Isosceles Triangle | A triangle with two congruent sides |
| Legs of an Angle | are the two congruent sides in a isosceles triangle |
| Legs of a Right Triangle | in a right triangle the sides that form the right angle are called legs of the right triangle. the side opposite the right angle is the hypotenuse of the triangle |
| Length | the linear extent in space from one end to the other |
| Linear Angle | Angle that is exactly 180 degrees |
| Linear Pair | Two adjacent angles that form a straight line |
| Linear Pair Postulate | If two angles form a linear pair, then they are supplementary |
| Line | A line with no endpoint |
| Line Segment | part of a line with two endpoints |
| Magnitude of a vector | AB is the distance from the initial point A to the terminal point B, and is written |AB| |
| Measure of an Angle | number of degrees in an angle |
| Midpoint | a point that divides a segment into two congruent segments |
| Midpoint Formula | (x₁+x₂)/2, (y₁+y₂)/2 |
| Natural Numbers | each positive whole number |
| Ruler | measuring stick consisting of a strip of wood or metal or plastic with a straight edge that is used for drawing straight lines and measuring lengths |
| Opposite Rays | 2 rays that have the same endpoint and go in opposite directions forming a line |
| Perpendicular Transversal | if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. |
| Plane | (mathematics) an unbounded two-dimensional shape |
| Point | Specific coordinate on a line, line segment, plane, ect... |
| Postulates | rules that are accepted without proof |
| Preimage | The original figure in a transformation. |
| Protractor | drafting instrument used to draw or measure angles |
| Ray | (mathematics) a straight line extending from a point |
| Rigid | fixed and unmoving |
| Segment Bisector | a segment, ray, line, or plane that intersects a segment at its midpoint |
| Sides of an Angle | the rays that form the angle |
| Straightedge | hand tool consisting of a flat rigid rectangular bar (metal or wood) that can be used to draw straight lines (or test their straightness) |
| Undefined Term | A basic figure that is not defined in terms of other figures. The undefined terms in Geometry are point, line, and plane. |
| Vertex | the point of intersection of lines or the point opposite the base of a figure |
| Right Angle | the 90 degree angle between two perpendicular lines |
| Obtuse Angle | an angle between 90 and 180 degrees |
| Perimeter | The distance around a figure |
| Straight Angle | An angle that is exactly 180 degrees |
| Real Numbers | Every number |
| Relection | The translation of a figure in which the object flips |
| Reflex Angle | an angle greater than 180 degrees (but less than 360) |
| Remote Interior Angles Theorem | the exterior angles of a triangle euquals the sum of the 2 remote interior angles. |
| Right Triangle | a triangle with one right angle |
| Right Angle Congruence Theorem | all right angles are congruent |
| Rotation | (mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin |
| Scalene Triangle | a triangle with no two sides of equal length |
| Sides of an Angle | the rays that form the angle |
| Supplementary Angles | Two angles whose sum is 180 degrees |
| Translation | (mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same |
| Triangle Sum Theorem | The sum of the measures of the angles of a triangle is 180. |
| vector | a straight line segment whose length is magnitude and whose orientation in space is direction |
| Verticle Angle | formed by 2 intersecting like and are opposites of each other which means angles are congruent |
| Verticle Angle Theorem | verticle angles are congruent |
| Whole Numbers | 0 and the natural numbers |
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