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Geometry

Chapter 3

AB
Alternate Interior Angles TheoremIf two parallel lines are cut by a transversal, then act pair of alternate interior angles are congruent.
Consecutive Interior Angles TheormIf two parallel lines are cut by a transversal, then each pari of consecutive interior angles are supplementary.
Alternate Exterior Angles TheoremIf two parallel lines are cut by a transversal, then each pair of alternate exterior angles are congruent.
Perpendicular Transversal TheoremIf a transversal is perpendicular to one of the two parallel lines, then it is perpendicular to the other.
Alternate Exterior Angles ConverseIF two ines are cut by a transversal so that the alternate exterior angles are congruent, then the lines are parallel.
Consecutive Interior Angles ConverseIf two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.
Alternate Interior Angles ConverseIf two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.
Perpendicular Transversal ConverseIn a plane, if two lines are perpendicular to the same line, then they are parallel.
Two lines Equidistant From a ThirdIn a plane, if two lines are equidistant from a third, then the two lines are parallel to each other.
Parallel LinesCoplanar lines that do no intersect
TransversalA LINE that intersects two or more coplanar lines at TWO different points.
Interior AnglesAngles on the INSIDE of parallel lines cut by a transversal
Exterior AnglesAngles on the OUTSIDE of parallel lines cut by a transversal
Consecutive Interior AnglesAngles that are on the SAME side of the transversal and INSIDE the two lines.
Alternate INTERIOR AnglesAngles BETWEEN two lines and on OPPOSITE sides of a transversal.
Alternate EXTERIOR AnglesAngles that lie OUTSIDE a pair of lines and on OPPOSITE side of a transversal
Corresponding AnglesTwo angles that are formed by two lines and transversal that occupy corresponding positions.
SlopeRatio of change along the y-axis to the change along the X-Axis.
Rate of ChangeHow quantity Y changes in relationship to quantity X
Slope Intercept FormY=mx + b where m is the slope and b is the y-intercept of the line.
Point-Slope Formy-y1 = m(x-x1), where m is the slope and (x1, y1) is the point the line is passing through
Corresponding Angles PostulateIf two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Converse of the Corresponding Angles PostulateIf two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel.


Jordan Schneider

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