both words mean the same thing, EQUAL but it's important to understand that in Geometry, objects are congruent and measurements are equal
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Postulates AKA Axioms
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true statements not requiring proof
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Definition
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words or terms used to describe new terms/concepts
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Vertex
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The point of union in an angle or on the side of a shape
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Origin
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the center of the coordinate plane ( 0 ,0 )
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Acute Angle
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an angle whose measures is between 0 and 90
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Collinear
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two points on the same line
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Congruent Angles
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angles whose angle measurement is equal
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Adjacent Angles
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are two coplanar angles that have a common side and a common vertex but no common interior points.
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Coplanar
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on the same plane.
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Angle
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is formed by two rays with the same endpoint. The two rays are the sides of the angle and the common endpoint is the vertex of the angle
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Supplementary Angles
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two angles whose sum equals 180 degrees
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One-Dimensional Coordinate System
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numbers used as locations of points on a number line
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Vertical Angles
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two angles whose sides are opposite rays. They are also equal
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Straight Edge
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a tool that looks like a ruler but with no numbers
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Ray
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is part of a line consisting of one endpoint and all the points of a line on one side of the endpoints
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Midpoint of a Line Segment
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the point halfway between the endpoints of a line segment
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Congruent Segments
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line segments whose lengths are equal
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Defined Terms
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a term that can be defined. there are 3 undefined terms in Geometry
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Obtuse Angle
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is an angle whose measure is between 90 and 180.
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Conjecture
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statement believed to be true but not yet proven
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Betweenness
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A point is between two other points on the same line if its coordinate is between their coordinates
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Non-coplanar
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not on the same plane
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Intersection
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the point where two lines cross/meet
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Exterior of an Angle
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the outside of an angle
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Line
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a series of points that extends in two opposite directions without end.
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Geometric Construction
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construction of accurate representations of lengths, angles, and geometric figures using only a straight edge and compass
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Compass
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a device uses to create a part of or a whole circle
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Undefined Terms
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terms not formally defined and used to define other terms/concepts in a mathematical system. There are three of these terms in Geometry: point, line, and plane
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Point
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this is a location and it has no size
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Right Angle
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an angle that equals 90 degrees exactly
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Straight Angle
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is an angle whose measure is 180 degrees
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Opposite Rays
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two collinear rays with the same endpoint
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Interior of an Angle
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the inside of an angle
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Postulate
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an accepted statement or fact
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Skew Lines
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two lines that do not lie in the same plane
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Distance AKA Length
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the measurement (a #) between two given points - it can never be negative
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Angle Measure
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the amount of turn there is from one side of the angle to the other
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Linear Pair
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two adjacent angles that form a line (equals 180 degrees)
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Non-collinear
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not on the same line
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Line Segment
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part of a line between two points on the line, the points are called endpoints of the segment
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Plane
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a flat surface that extends in all directions without end.
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Angle Addition Postulate
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states that if a point P lies in the interior of ∠RST, then ∠RSP + ∠PST = ∠RST.
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Complementary Angles
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two angles whose sum (adds up to) 90 degrees
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Segment Addition Postulate
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states that given two points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.