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20 Cards in this Set

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  • 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 non-obtuse 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
A-B-C-D 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