End of Year Geometry Study Guide - Geometry Study Guide...

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GeometryStudyGuideCreated by Marley Mainelli
Reasoning- SOL G.1Types of Statements:Conditional Statement- If p, then qInverse Statement- If ~p, then ~qConverse Statement- If q, then pContrapositive Statement- If ~q, then ~p
Biconditional Statement- p if and only if qLaw of Syllogism- if a leads to b, and b leads to c, then a leads to c.Law of Detachment- if a leading to b is true, then both a and b are true.Lines- SOL G.22 lines are parallel if their-Corresponding angles are congruentOR-Alternate interior angles are congruentOR-Alternate exterior angles are congruentOR-Consecutive interior angles are supplementaryOR-Both lines are perpendicular to the same line
OR-Both lines are parallel to the same lineOR-The two lines have the same slopeSlope Formula: y2-y1----------X2-x1***Parallel lines have the SAME SLOPEPerpendicular lines have the NEGATIVE RECIPROCAL SLOPETransformations- SOL G.3Types of Transformations:Reflection- to flipTranslation- to slide overRotation- to spin around a pointDilation- to shrink or grow
Symmetry:Line Symmetry: when a line splits an image so that it is the same on both sidesRotational Symmetry: when an image looks the same after a full rotationPoint Symmetry: when an image is the same after you flip itConstructions- SOL G.4Types of Constructions:Perpendicular Bisector- Choose a compass length greater than half of AB and less than the whole

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