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Geo Semester 1 Vocab - McDougal Littell Text Royal

Flashcards, matching, concentration, etc. general terms and specific text terms through Chapter 3

AB
DiameterThe distance across a circle through its center
PointUndefined term named with a capital printed letter
LineUndefined term named by a lower case script letter
PlaneUndefined term named by an upper case script letter
PostulateAn axiom
CongruentSame size and shape
EqualSame size
SimilarSame shape, proportional size
TheoremA true statement that follows as a result of other true statements
Right Angle=90 degrees
Linear Pair PostulateLinear Pairs are supplemental
Parallel LinesThe same distance apart, never intersecting
Perpendicular LinesIntersecting to form 4 right angles
Skew LinesNot parallel, but never intersecting
TransversalAny line that intersects 2 others in distinct points
PointThe intersection of 2 lines
Solve an equationFind the value of the variable that makes a statement true
SlopeSteepness
Rise Over RunSlope
Change in Y over Change in XSlope
Rate of Change in a GraphSlope
Change in YRise
Change in XRun
Line SegmentAll the points between the endpoints
Ruler PostulatePut one endpoint on zero and the other can be on a positive real number
Origin(0,0)
Segment Addition PostulateA is between B & C and BA + AC = BC
Pythagorean Theorema^2+b^2=c^2
Distance FormulaUsed to find length
CircumferenceThe perimeter of a circle
LineThe intersection of 2 planes
PolygonA closed plane figure with line segments for sides
Regular PolygonEquilateral, Equiangular Polygon
EquilateralSame length sides
EquiangularSame size angles
Area of a Triangle1/2bh
Area of a Rectanglebh
Area of a Squareside^2
Area of a CirclePi*r^2
Circumference of a Circled*Pi
Diameter2r
BisectCut into 2 equal parts
MidpointA point that bisects a segment
Acute>0 degrees and <90 degrees
Obtuse>90 degrees and <180 degrees
Reflex>180 degrees and <360 degrees
Supplementarysums to 180 degrees
Complementarysums to 90 degrees
Adjacent AnglesSharing 1 ray but no interior points
Circumference2Pir
Justifyprovide reasoning and/or proof
Explainshow reasoning
EvaluateFind the value of an algebraic expression for a given value of the variable
Linear PairAdjacent supplementary angles
ParallelogramQuadrilateral with opposite sides parallel
AreaMeasured in squre units
RayPart of a line with an endpoint and all points in the opposite direction
ConcaveExtending a side will interset the interior
ConvexNo line containing a side also contains an interior point
RegularAll sides congruent, all angles congruent
CollinearOn the same line
CoplanarIn the same plane
BetweenIf AB + BC = AC, then B is this to A & C
EndpointThe beginning of a ray
HypothesisThe part of a conditional statement directly following the word "if"
Conditional StatementAny statement in "if - then" form
ConverseThe conditional statement made by changing the order of the original hypothesis and conclusion
NegationThe opposite of a statement
NegationThe word for the symbol ~
ContrapositiveThe inverse of the converse of the original conditional statement
InverseThe statement formed by negating the hypothesis and the conclusion of a conditional statement
Indirect ReasoningUsing general patterns to form a conjecture
Deductive ReasoningUsing facts, properties, defintions, theorems, & laws of logics to form a logical argument.
BiconditionalAny statement containing "if and only if
Counter ExampleAny example that proves a conjecture false
ConjectureEducated Guess
ConclusionThe part of a conditional statement directly following the word "then"
Addition Property of Equality+ the same thing to each side
Subtraction Property of Equality- the same thing from each side
Transitive Property of EqualityIf a=b and b=c, then a=c
Transitive Property of CongruenceTwo objects that are the same size and shape as a third object are the same size and shape as each other
Reflexive Property of EqualityA=A
Symmetric Property of Equalityif A=B, the B=A
Congruent Supplements TheoremIf each of 2 angles are supplemental to a third, they're supplemental to each other
Corresponding AnglesSame side of the transversal, same side of each intersected lines
Consecutive Interior AnglesSame side of the transversal, inside the intersected lines,
Alternate Interior AnglesOpposite sides of the transversal, inside and on opposite intersected lines
Alternate Exterior AnglesOpposite sides of the transversal, outside and on opposite intersected lines
Triangle3-sided polygon
ScaleneNo sides congruent
Isosceles2 sides congruent
EquilateralAll sides congruent
Acute TriangleAll angles between 0 & 90 degrees
Right TriangleOne angle exactly 90 degrees
Obtuse TriangleOne angle between 90 & 180 degrees
Equiangular TriangleAll angles exactly 60 degrees
Interior Angle"Inside" the rays
Exterior AngleForms a linear pair with an interior one
CorollaryEasily proven using a Theorem
CongruentSame size and shape
Corresponding"Matched up" parts
HypotenuseAcross from the right angle
LegsForming the right angle
LegsForming the Vertex Angle
BaseAcross from the Vertex Angle
Base AnglesAlso congruent in an Isosceles Triangle
TransformationChanges location and size
Congruence TransformationChanges ONLY location, not size
TranslationSlide
ReflectionFlip
RotationTurn
SSS Congruence PostulateInvolves all 3 sides
SAS Congruence PostulateInvolves the included angle
ASA Congruence TheoremInvolves the included side
AAS Congruence TheoremInvolves the non-included side
HL Congruence TheoremOnly applies to right triangles
Triangle Sum TheoremInvolves angles adding up to 180 degrees
Exterior Angle TheoremInvolves the 2 remote interior angles
Third Angles TheoremProves something about the "remaining" angle
IsoscelesEquilateral Triangles are also this
EquiangularEquilateral Triangles are also this
EquilateralEquiangular Triangles are also this
Base Angles TheoremApplies to Isosceles Triangles
HL Congruence Theorema.k.a. SAS for rt. triangles
Ninety DegreesSum of acute angles in a rt. tri.
SupplementaryInterior and adjacent exterior angles


Beatrice Royal

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