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Definition


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Definition
Points that lie on the same plane 


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Definition
Consists of an endpoint and all the points in one direction 


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Definition
Consists of two endpoints and all the points between them 


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Definition
If Point C lies on AB between point A and point B, then CA and CB are opposite rays.



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Definition
The set of all points the figures have in common 


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Definition


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Definition


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Definition
A ray that divides an angle into two congruent angles 


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Definition
Unproven statement based off of observations 


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Definition
If pattern, then make conjecture 


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Definition
A logic statement with two parts
(Hypothesis→Conclusion) 


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Definition
Contains phrase "If and only if" (iff) Any true definition can be written as this statement 


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Definition
If true hypothesis of true Conditional, then true conclusion. 


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Definition
If hypothesis (p), then conclusion (q). If hypothesis (q), then conclusion (r). If hypothesis (p), then conclusion (r). 


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Definition
If two points, then one line 


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Definition
If one line, then at LEAST 2 points 


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Definition
If 2 intersecting lines, then one intersection point 


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Definition
If 3 noncollinear points, then one plane 


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Definition
If one plane, then at LEAST 3 noncollinear points 


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Definition
If two points in one plane, then line is in plane 


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Definition
If two planes intersect, then intersection is one line 


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Addition Property of Equality 

Definition


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Subtraction Property of Equality 

Definition


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Multiplication Property of Equality 

Definition


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Division Property of Equality 

Definition
If a=b and C≠0, then a/c=b/c 


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Substitution Property of Equality 

Definition
If a=b, then a can be substituted for b in any equation 


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Definition


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Reflexive Property of Equality 

Definition


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Symmetric Property of Equality 

Definition


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Transitive Property of Equality 

Definition


Term
Theorem 2.3: Right Angles Theorem 

Definition
If 2 angles are right, then congruent 


Term
Theorem 2.4: Congruent Supplements Theorem 

Definition
If2 angles are supplementary to same angle, then congruent 


Term
Theorem 2.5: Congruent Complements Theorem 

Definition
If 2 angles are complementary to the same angle, then congruent 


Term
Postulate 12: Linear Pair Postulate 

Definition
If 2 angles form linear pair, then supplementary 


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Theorem 2.6: Vertical Angles Congruence Theorem 

Definition
Vertical angles are congruent 


Term

Definition
If two lines are not coplanar and do not intersect, they are skew 


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Postulate 13: Parallel Postulate 

Definition
If there is a line and one point and that point is not on the line, then on that point there is one line that is parallel to the other line 


Term
Postulate 14: Perpendicular Postulate 

Definition
If there is a line and one point and that point is not on the line, then on that point there is one line that is perpendicular to the other line 


Term
Alternate Interior Angles 

Definition
Opposite sides of transversal on inside of parallel line
[image] 


Term
Alternate Exterior Angles 

Definition
Angles on opposite sides of transversal and on the outside of the parallel lines
[image] 


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Definition
An angle that is in the same spot of another group of angles
[image] 


Term
Consecutive interior angles 

Definition
Between two lines on same side of transversal
[image] 


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Postulate 15: Corresponding Angles Postulate 

Definition
If two parallel lines are cut by a transversal, then corresponding are congruent 


Term
Thm 3.1: Alternate Interior Angles Theorem 

Definition
If two parallel lines are cut by a transversal, then alternate interior are congruent 


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Thm 3.2: Alternate Exterior Angles Theorem 

Definition
If two parallel lines are cut by a transversal, then alternate exterior are congruent 


Term
Thm 3.3: Consecutive Interior Angles Theorem 

Definition
If two parallel lines are cut by a transversal, then consecutive interior angles are SUPPLEMENTARY 


Term
Postulate 16: Corresponding Angles Converse Postulate 

Definition
If two lines cut by transversal and corresponding angles are congruent, then lines are parallel 


Term
Thm 3.4: Alternate Interior Angles Converse Theorem 

Definition
If two lines are cut by a transversal and alternate interior are congruent, then lines are parallel 


Term
Thm 3.5: Alternate Exterior Angles Converse Theorem 

Definition
If two lines are cut by transversal and alternate exterior angles are congruent, then lines are parallel 


Term
Thm 3.6: Consecutive Interior Angles Converse Theorem 

Definition
If two lines are cut by a transversal and Consecutive interior angles are SUPPLEMENTARY, then lines are parallel 


Term
Postulate 17: Slopes of Parallel lines 

Definition
Two nonvertical lines are parallel IFF (if and only if) they have the same slope 


Term
Slopes of Perpendicular Lines 

Definition
Two nonvertical lines are perpendicular IFF the product of their slopes is 1.
*Horizontal and vertical lines ARE parallel 


Term
Thm 3.7: Transitive Property of Parallel Lines 

Definition
If two lines are parallel to same line, then parallel to eachother 


Term
Thm 3.8: Congruent
Linear Pair→ Perpendicular 

Definition
If two lines intersect and form linear pair of congruent angles, then lines are perpendicular 


Term
Thm 3.9: Perpendicular Form 4 Right Angles 

Definition
If two lines are perpendicular, then the 4 angles are right 


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Thm 3.10: Two Adjacent Perpendicular→Congruent 

Definition
If sides of two acute angles are perpendicular, then angles are complementary 


Term
Thm 3.11: Perpendicular Transversal Theorem 

Definition
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other 


Term
Thm 3.12: Lines Perpendicular to a Transversal Theorem 

Definition
(CANNOT BE SKEW!)→In a plane, if two lines are perpendicular to the same line, then they are parallel 


Term
Thm 4.1: Triangle Sum Theorem 

Definition


Term
Thm *: Linear Pair =180 Theorem 

Definition


Term
Thm 4.2: Exterior Angle Theorem 

Definition


Term
Corollary to Triangle Sum Theorem 

Definition


Term
Thm 4.3: Third Angles Theorem 

Definition


Term
Thm 4.4: Property fo Congruent Triangles 

Definition
Reflexive: ABC ≡ ABC
Symmetric: If ABC ≡ DEF, then DEF ≡ ABC
Transitive: ABC ≡ DEF, DEF ≡ GHJ, then ABC ≡ GHJ



Term
Postulate 19: SideSideSide (SSS post) congruence Postulate 

Definition


Term
Postulate 19: sideside side congruence postulate (sss post) 

Definition


Term
Postulate 20: anglesideangle Postulate (ASA post) 

Definition


Term
Postulate 21: SideAngleSide Postulate (SAS Post) 

Definition


Term
Theorem 4.6: AngleAngleSide Congruence Theorem (AAS Thm) 

Definition


Term
Theorem 4.5: HypotnuseLeg Congruence Theorem 

Definition


Term
Thm 4.7: Base Angles Theorem 

Definition
If two sides of a triangle are congruent, then the angles opposite them are congruent 


Term
Thm 4.8: Base Angles Converse Theorem 

Definition


Term
Corollary to Base Angles Theorem 

Definition
If equalateral, then equangular 


Term
Corollary to Base Angles Converse Theorem 

Definition
If equangular then equalteral 

