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Geometry Ord Level Definitions

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Term
Definition
Plane   Flat two-dimensional surface. It has length and width but no thickness  
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Point   Position on a plane  
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Coplanar   If points lie on the same plane  
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Line   Straight, infinitely thin line that continues forever in both directions; it has no endpoints  
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Collinear points   points that lie on the same line  
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Perpendicular lines   Lines that are at right angles or 90 degrees to each other  
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Parallel lines   Lines that are the same distance apart. They never meet  
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Line segment   Part of a straight line. It has two endpoints and can be measured using a ruler  
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Ray   Part of a line that originates at a point and goes on forever in only one direction  
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Vertex   Where 2 rays meet  
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Acute angle   Angle less than 90 degrees  
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Right angle   90 degree angle  
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Obtuse angle   angle greater than 90 degrees but less than 180 degrees  
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Reflex angle   Angle greater than 180 degrTees but less than 360 degrees  
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Null angle   0 degrees  
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Full rotation   360 degrees  
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Axiom   Statement that we accept without any proof. Without axioms there would be no starting point in theorems  
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Theorem   Rule that has been proven by following a certain number of logical steps or by using a previous theorem or axiom that you already know  
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Proof   Series of logical steps that we use to prove a theorem  
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Corollary   Reverse of a theorem  
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ImpliesH   Term we use in a proof when we can write down a fact that we have proven from our previous statements.  
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Vertically opposite angles   Angles that have the same vertex and are directly opposite each other  
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Transversal   Line that cuts two or more (usually parallel) lines  
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Equilateral triangle   All sides and angles are equal  
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Isosceles triangle   Two sides are the same length and two angles are the same size  
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Scalene   3 different lengths and 3 different angles  
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Polygon   Closed shape (no gaps or openings) with straight sides. It has at least 3 sides  
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Quadrilateral   Four sided polygon  
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Parallelogram   Quadrilateral that has 2 pairs of parallel sides  
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Congruent triangles   All corresponding sides and interior angles are equal in measure  
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Pythagoras   Square on the hypotenuse is equal to the sum of the squares of the other 2 sides.  
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Area of triangle   Half the base multiplied by the perpendicular height  
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Area of parallelogram   Base multiplied by height  
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Circle   Set of points in a plane that are all equidistant from a fixed point, its centre  
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Radius   Line segment from the centre of the circle to any point on the circle  
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Chord   Any segment that joins two points on a circle  
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Diameter   Chord that passes through the centre of a circle. The diameter is twice the radius  
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Circumference   Perimeter or length of the circle  
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Tangent   A line which touches the circle at only one point  
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Sector   Region of the circle enclosed by two radii and the arc between these radii  
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Cyclic Quadrilateral   Measures of the opposite angles add up to 180 degrees  
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