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Geometry Glossary A AA triangle similarity AAS triangle congruence ASA triangle congruence abscissa absolute value acute angle acute triangle additive property of equality adjacent angles adjacent sides algebraic representation algorithm alternate interior angles altitude of a cone altitude of a cylinder altitude of a prism altitude of a pyramid altitude of a trapezoid altitude of a triangle analytical geometry analytical geometric proof analytical representation of a transformation analyze angle angle addition postulate angle bisector angle measure antecedent apothem arc length arc measure arc of a circle area of a polygon argument axiom axis of symmetry B base betweeness biconditional C Cartesian coordinates Cartesian plane center of a dilation center of gravity center of a regular polygon center of a rotation center-radius equation of a circle central angle central angle of a regular polygon centroid chord circle circumcenter circumcircle circumference clockwise closure collinear points common tangents complementary angles composition of functions compound locus compound statement concave polygon concentric circles conclusion concurrence conditional statement cone conjecture conjunction congruent conic sections consistency constant of proportionality construct constraints contradiction contrapositive of a statement converse of a statement convex polygon coordinate geometry coordinate plane coplanar corresponding angles corresponding parts counterclockwise counterexample crossection cube D Decagon deductive proof deductive reasoning diagonal diameter diameter of a sphere dihedral angle dilation direct transformation distance between two points distance between a point and a line distance between two parallel lines dodecahedron E edge of a polyhedron ellipse endpoint equiangular equidistant equilateral polygon equilateral triangle equivalence relation Euclidean Geometry Euclidean Parallel Postulate Euler line external segment of a secant exterior of a geometric figure exterior angle of a polygon F face of a polyhedron fixed point foot of an altitude function G geometric inequality geometric mean geometric probability geometric representation of the circular functions geometric sequence geometry glide reflection golden ratio golden rectangle graphical representation great circle H half turn hemisphere Heron's formula hexagon hyperbola hypotenuse hypotenuse and leg triangle congruence hypothesis I icosahedron identity elements image incenter of a triangle included angle included side indirect proof inductive reasoning inscribed angle inscribed circle intercepted arc interior intersecting lines intersection of sets invariant inverse of a statement isometry isosceles trapezoid isosceles triangle J There are no J terms. K There are no K terms . L lateral area of a prism lateral edge lateral face length of line segment line segment line symmetry linear pair of angles locus of points logically equivalent M major arc mean proportional measure of an arc median of a trapezoid median of a triangle midpoint. midsegment minor arc N negation net n-gon non-collinear points non- coplanar points non-Euclidean geometry O oblique line and a plane obtuse angle obtuse triangle octahedron one-to-one function opposite rays opposite side in a right triangle opposite transformation ordered pair ordered triple ordinate orientation origin orthocenter P parabola paragraph proof parallelepiped parallel lines parallel planes parallel postulate parallelogram parameter pentagon perimeter perpendicular bisector perpendicular lines perpendicular planes pi plane Platonic solids point point of concurrency point of tangency point-slope equation of a line point symmetry polygon polyhedron position vector postulate preimage premise prism proof by contradiction proportional pyramid Pythagorean theorem Q quadrant quadratic equation quadrilateral R radical radius ray reason rectangle rectangular coordinates reflection reflexive property of equality regular polygon regular pyramid remote interior angles restricted domain rhombus right angle right circular cylinder right circular cone right pyramid right triangle rotation rotational symmetry S SAS triangle congruence SAS Similarity Theorem scalene triangle secant (of a circle) secant (of an angle) sector of a circle segment of a circle semi-circle set similar polygons skew lines slant height slope slope - intercept equation of a line sphere square SSS triangle congruence straightedge substitution property subtraction property of equality supplementary angles surface area symmetric property of equality T tangent circles (internal) tangent circles (external) tangent line to a circle tangent segment tessellation tetrahedron theorem three-dimensional space transformation transformational geometry transformational proof transitive property of equality translation transversal trapezoid triangle inequality theorem trichotomy property trigonometry of the right triangle truth value two column proof two-dimensional space U undefined terms union of sets V valid argument vector vertex of an angle vertex of a polygon vertex of a cone or pyramid vertical angles volume X x-axis x-coordinate x-intercept Y y-axis y-coordinate y-intercept Z z-axis z-coordinate zero product property
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