Term

Definition
If M is the midpoint of AB, then AM = MB = 1/2 AB 


Term

Definition
M is the midpoint of AB if, and only if, M, A and B are collinear and AM is congruent to MB 


Term
Definition of Segment Congruency 

Definition
AB = CD if and only if AB is congruent to CD 


Term
Definition of Angle Bisector 

Definition
BD bisects angle ABC if and only if angle ABC is congruent to DBC 


Term
Segment Addition Postulate 

Definition
B is between A and C if and only if AB+CD=AC 


Term
Reflexive Property of Segment Congruency 

Definition


Term
Symmetric Property of Segment Congruency 

Definition
if AB is congruent to CD, then CD is congruent to AB 


Term
Transitive property of Segment Congruency 

Definition
If AB is congruent to CD, and CD is congruent to EF, then AB is congruent to EF 


Term
Definition of Supplementary Angles 

Definition
2 Angles are supplementary if they = 180º 


Term
Definition of Complementary Angles 

Definition
2 Angles are complementary if they = 90º 


Term

Definition
mPQR +mRQS = mPQS if and only if R is on the interior of PQS 


Term

Definition
If 2 angles form a linear pair, they are supplementary 


Term

Definition
If noncommon sides of 2 adjacent angles form a right angle, the the angles are complementary 


Term

Definition
Angles supplementary to same angle are supplementary 


Term

Definition
Angles complementary to the same angle are complementary 


Term

Definition
If 2 angles are vertical, then they are congruent 


Term
Corresponding Angles Postulate 

Definition
If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent 


Term
Alternate Interior Angles Theorem 

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


Term
Consecutive Interior Angles Theorem 

Definition
If 2 parallel lines are cut by a transversal, then the consecutive interior angles are congruent 


Term
Perpendicular Transitive Theorem 

Definition
In a plane, if a line is perpendicular to 1 of the parallel lines, then it is perpendicular to the other 


Term
Converse of Corresponding Angles Postulate 

Definition
If corresponding angles are congruent, then lines are parallel 


Term
Converse of Alternate Interior Angles Theorem 

Definition
If Alternate Interior angles are congruent, then lines are parallel 


Term
Converse of Alternate Exterior Angles Theorem 

Definition
If Alternate Exterior angles are congruent, then lines are parallel 


Term
Converse of Consecutive Interior Angles Theorem 

Definition
If Consecutive Interior angles are congruent, then lines are parallel 


Term
Converse of Perpendicular Transitive Theorem 

Definition
If two lines are perpendicular to the same line, then they are parallel 


Term

Definition
The sum of the three interior angles of a triangle=180º 


Term

Definition
If two angles in one triangle are congruent to two angles in another triangle, then the third angles are congruent in both triangles 


Term
Exterior Triangle Theorem 

Definition
The measure of an exterior angle of a triangle is = to the sum of two opposite angles 


Term

Definition
The acute angles of a right triangle are complementary 


Term

Definition
There can be at most one obtuse or right angle in a triangle 


Term

Definition
The incenter of a triangle is equidistant from each side of a triangle 


Term

Definition
Any point on angle bisector is equidistant from sides of angle 


Term

Definition
Any point equidistant from a side of angle is on angle bisector 


Term

Definition
Any point on perpendicular bisector of a segment is equidistant from endpoint of segment 

