# Shared Flashcard Set

## Details

Justifications
My Proof Justifications
34
Mathematics
11/02/2010

## Additional Mathematics Flashcards

Term
 Definition of Midpoint
Definition
 If M is the midpoint of AB, then AM = MB = 1/2 AB
Term
 Midpoint Theorem
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
Definition
 B is between A and C if and only if AB+CD=AC
Term
 Reflexive Property of Segment Congruency
Definition
 if AB is congruent to AB
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
 Supplementary Theorem
Definition
 If 2 angles form a linear pair, they are supplementary
Term
 Complementary Theorem
Definition
 If non-common sides of 2 adjacent angles form a right angle, the the angles are complementary
Term
 Theorem 2.6
Definition
 Angles supplementary to same angle are supplementary
Term
 Theorem 2.7
Definition
 Angles complementary to the same angle are complementary
Term
 Vertical Angle Theorem
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
 Angle Sum Theorem
Definition
 The sum of the three interior angles of a triangle=180º
Term
 Third Triangle Theorem
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
 Corollary #1
Definition
 The acute angles of a right triangle are complementary
Term
 Corollary #2
Definition
 There can be at most one obtuse or right angle in a triangle
Term
 Incenter Thm
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
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