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Geom Theorems

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AB
If two angles are right anglesthen they are congruent
If two angles are straight anglesthen they are congruent
If a conditional statement is truethen the contrapositive of the statement is also true
If angles are supplementary to congruent anglesthen they are congruent
If angles are complementary to the same anglethen they are congruent
if angles are complementary to congruent angles,then they are congruent
If angles are supplementary to the same anglesthen they are congruent
If a segment is added to two congruent segmentsthe sums are congruent
If an angle is added to two congruent anglesthen the sums are congruent (Addition Property)
If congruent segments are added to congruent segmentsthe sums are congruent
If congruent angles are added to congruent angles,the sums are congruent
If a segment (or angle) is subtracted from congruent segments (or angles)the differences are congruent
If congruent segments (or angles) are subracted from congruent segments (or angles)the differences are congruent
If segments (or angles) are cngruent <Multiplication Property>their like multiples are congruent
If segments (or angles) are congruent <Division Prop>their like divisions are congruent
If angles (or segments) are congruent to congruent angles (or segments)then they are congruent to each other
If angles (or segments) are congruent to the same angle (or segment)then they are congruent to each other
Vertical anglesare congruent
All radii of a circleare congruent
If two sides of a triangle are congruentthe angles opposite the sides are congruent (if sides, then <s)
If two angles of a triangle are congruentthe sides opposite the angles are congruent (If <s, then sides)
If two angles are both supplementary and congruentthen they are right angles
If two points are equidistant from the endpoints of a segmentthen the two points determine the perpendicular bisector of that segment
If a point is on the perpendicular bisector of a segmentthen it is equidistant from the endpoints of that that segment
If two non-vertical lines are parallelthen their slopes are equal
If the slopes of two non-vertical lines are equalthen they are parallel
If two lines are perpendicular and neither is verticaleach's slope is the opposite (negative) reciprocal of the other's.
If a line's slope is the opposite reciprocal of the other line's slopethe two lines are perpendicular
(FYI: Know midpt theorem)M=(x1=x2)/2 , (y1+y2)/2

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