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# Geometry LC Maths

### Geometry Ord Level Definitions

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