Shared Flashcard Set

Details

Justifications
My Proof Justifications
34
Mathematics
9th Grade
11/02/2010

Additional Mathematics Flashcards

 


 

Cards

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
Segment Addition Postulate
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
Angle Addition Postulate
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
Supporting users have an ad free experience!