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Thompson_7th_BasicGeometryTerms
N/A
100
Mathematics
10th Grade
08/26/2013

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Term
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Term
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An angle with a measure between 0° and 90°
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Two angles that share the same vertex and have one side in common between them
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The surface included within a closed figure, measured by the number of square units needed to cover the surface.
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Having one thing on either side of it.
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A straight line or a plane that divides a line, a plane, an angle, or a shape into two equal parts.
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The boundary line of a circle or length of perimeter.
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Lying on the same straight line.
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If the sum of the measures of two angles is 90°
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When at least one of the interior angles is greater than 180°
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A solid formed by rotating a right triangle around one of its legs.
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when one figure fits exactly on top of the other through simple translation and/or rotation, then these two figures are the same size and/or shape.
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An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
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curved outward or toward the eye. A set of points any of whose chords do not include any point that is not in the set.
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A pair of numbers that describe the position of a point on a plane by using the horizontal and vertical distances from the two axes.
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Points or lines that all lie in the same plane.
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A tubular solid with a circular base.
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A unit of measure used to measure the magnitude of an angle.
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A line segment between two points on the circle or sphere which passes through the center
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A line segment joining two adjacent vertices in a polygon
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A planar surface of a solid figure.
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The longest side opposite the right angle in a right triangle.
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A geometrical object that is straight, infinitely long and infinitely thin.
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The two supplementary adjacent angles formed by two intersecting lines
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Part between two points called endpoints.
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The point on a line that divides the given line segment into two congruent parts.
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An angle that is between 90° and 180°.
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One of the two pairs of equal angles formed when two straight lines intersect each other.
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Both have common endpoint that form a line
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Side by side and having the same distance continuously between them.
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The boundary of a closed geometric figure.
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At an angle of 90° to a given line, plane, or surface.
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A flat surface that can extend forever in length and width but has no thickness.
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A geometric object that has no dimension and is used to indicate a location.
Term
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A closed plane figure bounded by at least three line segments.
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A solid bounded by at least four polygonal faces. The pairs of faces meet along their edges.
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A true statement, which does not require to be proved.
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A space figure with two parallel polygonal bases that are the same shape and the same size.
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A set of logical arguments used to deduce or prove a mathematical theorem from a set of axioms.
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A polyhedron whose one face is a polygon and the other faces are triangles with one common vertex.
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The distance from the center of a circle to any point on its circumference.
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Also called half-line. It is a straight line that extends from a point.
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An angle that measures 90°
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Also called non-coplanar lines. They are straight lines that are neither parallel, nor intersecting.
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A perfect round ball. A closed solid bounded by a surface on which all points are equidistant from a central point called the center.
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Two angles that add up to 180°.
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A general conclusion proposed to be proved upon the basis of certain given hypotheses or assumptions
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Also known as unknown.
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A point at which the two rays of an angle meet or the intersection point of two sides of a plane figure.
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Opposite of each other formed by two intersecting lines.
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Angle
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Two rays sharing a common endpoint. These are typically measured in degrees or radians.
Term
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Measure less than 90 degrees.
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In a plane which share a common vertex and a common side but do not overlap.
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The surface included within a closed figure, measured by the number of square units needed to cover the surface.
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Between
Definition
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Term
Bisector
Definition
A line segment,, line, or plane, that divides a geometric figure into two congruent halves.
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Circumference
Definition
A complete circular arc. Can also mean the distance around the the outside of a circle.
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Collinear
Definition
Lying on the same line
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Complementary
Definition
A pair that add up to 90°.
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Concave Polygon
Definition
A shape or solid which has an indentation or "cave".
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Cone
Definition
A three dimensional figure, with a single base tapering to an apex. The base can be any simple closed curve.
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Congruent
Definition
Exactly equal in size and shape. Sides or segments have the exact same length. These angles have the exact same measure. For any set of same geometric corresponding sides, angles, faces , etc. are equal.
Term
Construction
Definition
An additional geometric figure that is constructed to assist in solving a problem or producing a proof.
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Convex Polygon
Definition
A geometric figure with no indentations. Formally, a geometric figure is this if every line segment connecting interior points is entirely contained within the figure's interior.
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Coordinate
Definition
the pair of numbers giving the location of a point. (ordered pair).
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Coplanar
Definition
Lying in the same plane. For example, any set of three points in space.
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Cylinder
Definition
A three-dimensional geometric figure with parallel congruent bases.
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Degree
Definition
A unit of angle measure equal to of a complete revolution.
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Diameter
Definition
A line segment between two points on the circle or sphere which passes through the center.
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Edges
Definition
A line segment where two faces of a polyhedron meet.
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Face
Definition
A planar surface of a solid figure.
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Hypotenuse
Definition
The side of a right triangle opposite the right angle.
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Line
Definition
The geometric figure formed by two points.
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Linear Pair
Definition
A pair of adjacent angles formed by intersecting lines.
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Line Segment
Definition
All points between two given points (including the given points themselves).
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Midpoint
Definition
The point halfway between two given points.
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Obtuse Angle
Definition
has measure more than 90° and less than 180°.
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Opposite Angle
Definition
Two things that are located or facing directly across.
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Opposite Rays
Definition
Have a common endpoint that form a line.
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Parallel
Definition
Two distinct coplanar angles that do not intersect.
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Perimeter
Definition
The distance around the outside of a plane figure.
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Perpendicular
Definition
At a 90° angle.
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Plane
Definition
A flat surface extending in all directions.
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Postulate
Definition
A premise or starting point of reasoning.
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Point
Definition
The geometric figure formed at the intersection of two distinct lines..
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Polygon
Definition
A closed plane figure for which all sides are line segments.
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Polyhedron
Definition
A solid with no curved surfaces or edges.
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Prism
Definition
A solid with parallel congruent bases which are both polygons. The bases must be oriented identically.
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Proof
Definition
Uses definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.
Term
Pyramid
Definition
A polyhedron with a polygonal base and lateral faces that taper to an apex.
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Radius
Definition
A line segment between the center and a point on the circle or sphere.
Term
Ray
Definition
A part of a line starting at a particular point and extending infinitely in one direction.
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Right Angle
Definition
At 90°.
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Skew
Definition
Lines in three dimensional space that do not intersect and are not parallel.
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Sphere
Definition
A three dimensional solid consisting of all points eduidistant from a given point.
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Supplementary
Definition
Two lines that add up to 180°.
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Theorem
Definition
A general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
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Undefined Term
Definition
he "slope" of a vertical line.
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Vertex
Definition
A corner point of a geometric figure.
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Vertical Angles
Definition
opposite one another at the intersection of two lines.
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