Pearson Texas Geometry: Topic 1 Tools of Geometry Goodrich ISD, TX
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Straight angle
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Angle whose measure is 180°.
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Obtuse angle
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Angle whose measure is between 90° and 180°.
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Angle
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Is formed by two rays with the same endpoint.
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Congruent angles
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Angles with the same measure.
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Measure of an angle
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Absolute value of the difference of the real numbers paired with the sides of the angle
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Right angle
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Angle whose measure is 90°.
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Sides of an angle
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Rays of the angle
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Vertex of an angle
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The common endpoint of the two rays that form the angle.
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Adjacent angles
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Angles that have a common (shared) vertex and side, but NO common (shared) interior points.
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Postulate
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Axiom; is an accepted statement of fact; a rule in math.
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Angle bisector
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A ray that divides an angle into two congruent angles.
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Collinear points
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Points lie on the same line
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Congruent segments
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Two segments are congruent segments if they have the same length.
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Construction
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A geometric figure drawn using a straightedge and a compass.
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Linear pair
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A pair of adjacent angles whose noncommon sides are opposite rays.
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Perpendicular lines
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Two lines that intersect to form right angles.
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Point
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Indicates a location and has no size.
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Ray
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Part of a line that consists of one endpoint and all points of the line on one side of the endpoint.
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Segment bisector
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Part of a line that consists of two endpoints and all points between them.
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Vertical angles
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Two angles whose sides are opposite rays.
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Coplanar
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Points and lines lie in the same plane.
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Intersection
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The intersection of two or more geometric figures is the set of points the figures have in common.
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Line
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Is represented by a straight path that extends in two opposite directions without end and has no thickness. A line contains infinitely many points.
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Opposite rays
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Two rays that share the same endpoint and form a line.
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Plane
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Represented by a flat surface that extends without end and has no thickness. A plane contains infinitely many lines
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Space
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The set of all points in three dimensions.
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Implication
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A conclusion that follows from previously stated ideas or reasoning without being explicitly stated.
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Representation
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A way to display or describe information. You can use a representation to present mathematical ideas and data.
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Coordinate
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The coordinate of a point is the real number that corresponds to a point.
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Distance
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The distance between two points is the absolute value of the difference of their coordinates.
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Midpoint
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The midpoint of a segment is a point that divides the segment into congruent segments.
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Segment bisector
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A point, a line, a ray, or another segment that intersects a segment at its midpoint (or bisects it).
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Acute angle
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An angle whose measure is between 0° and 90°.
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Complimentary angles
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Two angles whose measures have a sum of 90°
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Supplementary angles
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Two angles whose measures have a sum of 180°.
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Compass
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Geometric tool used to draw circles and parts of circles called arcs.
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Perpendicular bisector
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Of a segment, is a line, segment, or ray that is perpendicular to the segment at its midpoint.
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Straightedge
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A ruler with no markings on it.
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Concave
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Referring to a polygon, having AT LEAST ONE diagonal with points outside the polygon.
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Convex
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Referring to a polygon, having NO diagonal points outside the polygon.
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Diagonal
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Segment that connects two NONconsecutive vertices.
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Segment
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Part of a line that consists of two endpoints and all points between them.
