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Geometry Definitions Flashcards

Definitions through chapter 4. :D
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13508104820Inductive reasoninga type of reasoning that reaches conclusions based on a pattern of specific examples or past events.0
13508104821Conjecturea conclusion reached by using inductive reasoning.1
13508104822Counterexamplea particular example or instance of the statement that makes the statement false.2
13508104823Spaceset of all points.3
13508104824Collinear pointspoints lie on the same line.4
13508104825Coplanarfigures in the same plane.5
13508104826Postulatean accepted statement of fact.6
13508104827Segmentpart of a line consisting of two points, called endpoints, and all points between them.7
13508104828Raypart of a line consisting of one endpoint and all the points of the line on one side of the endpoint.8
13508104829Opposite rayscollinear rays with the same endpoint. They form a line.9
13508104830Parallel linesTwo lines lie in the same plane and do not intersect. The symbol || represents this10
13508104831Skew lineslines that do not lie in the same plane.11
13508104832Parallel planesplanes that do not intersect12
13508104834Congruent segmentssegments that have the same length.13
13508104835Midpointthe point that divides the segment into two congruent segments.14
13508104836Angleformed by two rays with the same endpoint. The rays are the sides of the angle and the common endpoint is the vertex of the angle.15
13508104838Right anglean angle whose measure is 90.16
13508104840Straight angleangle whose measure is 180.17
13508104841Congruent anglesangles that have the same measure.18
13508104842Constructiongeometric figure made with only a straightedge and compass.19
13508104844Compassa geometric tool used to draw circles and parts of circles, called arcs.20
13508104845Perpendicular lineslines that intersect to form right angles. The symbol ┴ represents this .21
13508104846Perpendicular bisectora line, segment, or ray that is perpendicular to the segment at its midpoint.22
13508104847Angle bisectora ray that divides an angle into two congruent angles.23
13508104848Conditional Statementan if-then statement.24
13508104854Deductive reasoninga process of reasoning logically from given facts to a conclusion.25
13508104857Reflexive propertya = a26
13508104858Symmetric propertyIf a = b, then b = a.27
13508104859Transitive propertyIf a = b and b = c, then a = c.28
13508104860Vertical anglestwo angles whose sides form two pairs of opposite rays.29
13508104861Adjacent anglestwo coplanar angles that have a common side and a common vertex but no common interior points.30
13508104862Complementary anglesTwo angles when the sum of their measures is 90.31
13508104863Supplementary anglesTwo angles when the sum of their measures is 180.32
13508104864Theoremconjecture that is proven.33
13508104866Proofa convincing argument that uses deductive reasoning. A proof can be written in many forms. In a paragraph proof, the statements and reasons are connected in sentences.34
13508104867Transversala line that intersects two coplanar lines in two points.35
13508104868Alternate interior anglesare nonadjacent interior angles that lie on opposite sides of the transversal.36
13508104869Same-side interior angles(or consecutive interior) angles lie on the same side of the transversal t and between l and m.37
13508104870Corresponding anglesangles lie on the same side of the transversal t and in corresponding positions relative to l and m.38
13508104871Two-column proofThe statements and reasons are aligned in columns.39
13508104872Flow proofArrows show the logical connections between the statements.40
13508104874Right triangleA triangle contains one right angle.41
13508104876Equiangular trianglea triangle whose angles are all congruent.42
13508104877Equilateral trianglea triangle whose sides are all congruent.43
13508104878Isosceles trianglea triangle that has at least two congruent sides.44
13508104879Scalene triangletriangle has no sides congruent.45
13508104880Exterior angle of a polygonan angle formed by a side and an extension of an adjacent side.46
13508104881Remote interior anglestwo nonadjacent interior angles corresponding to each exterior angle of a triangle.47
13508104887Regular polygona polygon that is both equilateral and equiangular.48
13508104888Slope-intercept formform of a linear equation is y = mx + b,49
13508104890Point-slope formThe form for a nonvertical line with slope m and through point ( X1, Y1 ) is Y - Y1 = m( X - X1 ).50
13508104891Congruent polygonspolygons that have corresponding sides congruent and corresponding angles congruent.51
13508104892CPCTC"corresponding parts of congruent triangles are congruent."52
13508104893LegsThe two congruent sides of an isosceles triangle.53
13508104896Base angles of an isosceles triangleThe other two angles in an isosceles triangle54
13508104898HypotenuseThe longest side of a right triangle. Also opposite the right angle.55
13508104899Legs of a right triangleThe sides that from the right angles of a right triangle56

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