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20 Cards in this Set
 Front
 Back
Line Intersection Theorem

Two different lines intersect at most at one point.


Linear Pair Theorem

If two angles form a linear pair, they are supplementary


Vertical Angles Theorem

If two angles are vertical angles, then they have equal measures


Parallel Lines and Slopes Theorem

Two nonvertical lines are parallel if an only if they have the same slope


Transitivity of Parallelism Theorem:

In a plane, if l // m and m // n, then l // n


2 Perpendiculars Theorem

If 2 coplanar lines l and m are each peprpindicular to the same line, then they are parallel to each other


Perpindiculars to Parallels Theorem

In a plane, if a line is perpendicular to one of 2 parallel lines, then it is also perpindicular to the other


Perpindicular Lines and Slopes Theorem

2 nonvertical lines are perpendicular if and only if the product of their slopes is 1


Figure Reflection Theorem

If a figure us determined by certain points, thenits reflection image is the corresponding figure determined by the reflection images of those points


2 Reflection Theorem for Translations

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


Two Reflection Theorem for Rotations

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 nonobtuse angle formed by these lines, in the direction fro l to m


Corresponding Parts of Confruent Figures (CPCF) Theorem

IF 2 figures are congruent, then any pair of corresponding parts is congruent


ABCD Theorem

Every isometry preserves angle measure, betweeness, collinearity (lines), and distance (lenghts of segments)


Reflexive Property of Congruence

F is congruent to F


Symmetric Property of Congruence

If F is congruent to G, then G is congruent to F


Transitive Property of Congruence

If F is congruent to G and G is congruent to H, then F is congruent to H


Segment Congruence Theorem

2 segements are congruent if and only if they have the same length


Angle Congruence Theorem

2 angles are congruent if and only if they have the sam measure


Euclid's First Theorem

If circle A contains points B and Circle B contains point A and the circles intersect at C, then triangle ABC is equilateral


// Lines Þ AIA congruence theorem

If 2 parallel lines are cut by a transversal, then alternate interior angles are congruent
