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20 Cards in this Set
- Front
- Back
Line Intersection Theorem
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Two different lines intersect at most at one point.
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Linear Pair Theorem
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If two angles form a linear pair, they are supplementary
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Vertical Angles Theorem
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If two angles are vertical angles, then they have equal measures
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Parallel Lines and Slopes Theorem
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Two nonvertical lines are parallel if an only if they have the same slope
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Transitivity of Parallelism Theorem:
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In a plane, if l // m and m // n, then l // n
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2 Perpendiculars Theorem
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If 2 coplanar lines l and m are each peprpindicular to the same line, then they are parallel to each other
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Perpindiculars to Parallels Theorem
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In a plane, if a line is perpendicular to one of 2 parallel lines, then it is also perpindicular to the other
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Perpindicular Lines and Slopes Theorem
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2 nonvertical lines are perpendicular if and only if the product of their slopes is -1
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Figure Reflection Theorem
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If a figure us determined by certain points, thenits reflection image is the corresponding figure determined by the reflection images of those points
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2 Reflection Theorem for Translations
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If m // l, the translation over line l then m has magnitude 2 times the distance between l and m, in the direction from l perpendicular to m
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Two Reflection Theorem for Rotations
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If m intersects l, the rotation over line l then m has center at the point of intersection of m and l and has magnitude twice the measure of the non-obtuse angle formed by these lines, in the direction fro l to m
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Corresponding Parts of Confruent Figures (CPCF) Theorem
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IF 2 figures are congruent, then any pair of corresponding parts is congruent
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A-B-C-D Theorem
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Every isometry preserves angle measure, betweeness, collinearity (lines), and distance (lenghts of segments)
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Reflexive Property of Congruence
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F is congruent to F
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Symmetric Property of Congruence
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If F is congruent to G, then G is congruent to F
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Transitive Property of Congruence
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If F is congruent to G and G is congruent to H, then F is congruent to H
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Segment Congruence Theorem
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2 segements are congruent if and only if they have the same length
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Angle Congruence Theorem
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2 angles are congruent if and only if they have the sam measure
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Euclid's First Theorem
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If circle A contains points B and Circle B contains point A and the circles intersect at C, then triangle ABC is equilateral
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// Lines Þ AIA congruence theorem
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If 2 parallel lines are cut by a transversal, then alternate interior angles are congruent
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