A Geometry Concept Map

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Concepts of Geometry: Reasoning

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Undefined terms , (point, line, plane), defined terms, collinear points, coplanar points, line segment, endpoints, rays, opposite rays, intersections, postulate, axiom, coordinate, distance, between, congruent segments, midpoint, segment bisector, acute, right, obtuse, straight angles, congruent angles, measure of an angle, vertex, angle bisector, complimentary, supplementary, adjacent, linear pair, vertical angles, perimeter, circumference, area, diameter, radius, polygon, convex, concave, n-gon, equilateral, equiangular, regular, conjecture, inductive reasoning, counterexample, conditional statement , (converse, inverse, , contrapositive), if-then form , (hypothesis, conclusion), negation, equivalent statements, perpendicular lines, biconditional statement, line perpendicular to a plane, postulate, deductive reasoning, equation, solve and equation, proof, two-column proof, theorem, complementary angles, supplementary angles, linear pair, vertical angles

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Concepts of Geometry: Inferences

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Parallel lines, skew lines, parallel planes, transversal, corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles, paragraph proof, converse, two-column proof, slope, rise, run, slope-intercept form, standard form, x-intercept, y-intercept, distance from a point to a line.

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Concepts of Geometry: Inferences 2

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Triangle (scalene, isosceles, equilateral, acute, right, , obtuse, equiangular), interior angles, exterior angles, corollary to a theorem, congruent figure, corresponding parts, congruent figures, corresponding parts, leg of a right triangle, hypotenuse, flow proof, legs, vertex angle, base, base angles, transformation, image, translation, reflection, rotation, congruence transformation.

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Concepts of Geometry: Location

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Midsegment of a triangle, coordinate proof, perpendicular bisector, equidistant, concurrent, point of concurrency, circumcenter, incenter, angle bisector, distance from a point to a line, median of a triangle, centroid, altitude of a triangle, orthocenter, side opposite, inequality, indirect proof, included angle

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Concepts of Geometry: Similarity

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Ratio, proportion , (means, extremes), geometric mean, scale drawing, scale, similar polygons, scale factor, corresponding angles, dilation, center of dilation, scale factor of a dilation, reduction, enlargement, transformation.

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Concepts of Geometry: Similarity 2

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Pythagorean triple, trigonometric ratio, tangent, sine, cosine, angle of elevation, angle of depression, solve a right triangle, inverse tangent, inverse sine, inverse cosine..

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Concepts of Geometry: Classification

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Diagonal, parallelogram, rhombus, rectangle, square, trapezoid , (base, base angles, legs), isosceles trapezoid, midsegment of a trapezoid, kite.

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Concepts of Geometry: Movement

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Image, preimage, isometry, vector, component form, matrix, element, dimensions, line of reflection, center of rotation, angle of rotation, glide reflection, composition of , transformations, line symmetry, rotational symmetry, scalar multiplication.

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Concepts of Geometry: Connections

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Circle , (center, radius, , diameter), chord, secant, tangent, central angle, minor arc, major arc, semicircle, congruent circles, congruent arcs, inscribed angle, intercepted arc, standard equation of a circle.

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Concepts of Geometry: Measurement

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Parallelogram , (base, height), trapezoid (height), circumference, arc length, sector of a circle, polygon , (center, radius, apothem), central angle of a , regular polygon, probability, geometric probability.

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Concepts of Geometry: Measurement 2

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Explore solids, Surface area of prisms and cylinders, Surface area of pyramids and cones, Volume of prisms and cylinders, Volume of pyramids and cones, Surface area and volume of spheres, Explore similar solids

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