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Geometry Theorems!
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23
Mathematics
10th Grade
01/25/2009

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Term
Properties of segment congruence theorem
Definition
segment congruence is reflexive, symmetric, and transitive
Term
Mid point theorem
Definition
if M is the midpoint of AB, then AM=1/2 of AB & MB=1/2 of AB. (a midpoint splits the segment into two equal parts)
Term
Angle congruence theorem
Definition
< congruence is reflexive, symm, and transitive
Term
right angle congruence theorem
Definition
all right angles are congruent
Term
congruent supplements theorem
Definition
if 2 angles are supplementary to the same angle (or to congruent angles) then they are congruent
Term
congruent complements theorem
Definition
if two angles are complementary to the same angle then they are congruent
Term
angle bisector theorem
Definition
an angle bisector splits the angle is two equal parts/angles
Term
alt interior angle theorem
Definition
if two parallel lines are cut by transversal, then alternate interior angles are congruent
Term
perpendicular theorem
Definition
if a transversal is perpendicular to one or two parallel lines, its also perpendicular to the other
Term
alt inter angle converse
Definition
if two lines are cut by a transversel, and alternate interior angles are congruent, then lines are parallel
Term
same side interior angle converse
Definition
if 2 lines are cut by a transversel, and same side interior angles are supplementary, then lines are parallel
Term
alternate exterior angle converse
Definition
if two lines are cut by a transversal, and alternate exterior angles are congruent, then lines are parallel
Term
pythagorean theorem
Definition
a squared + b squared = c squared
Term
ruler postulate
Definition
the points on a line can be matched one to one with the real #s.
Term
segment addition postulate
Definition
if B is between A and C, then AB + BC = AC. if AB + BC = AC then B is between A and C
Term
angle addition postulate
Definition
if P is in the interior of
Term
Postulate 5
Definition
through any two points there is one line
Term
postulate 7
Definition
if any two lines interesect, their intersection is exactly one point
Term
postulate 6
Definition
a line contains at least two points
Term
postulate 8
Definition
through any three colinear points there exists exactly one plane
Term
postulate 9
Definition
a plane contains at least three non collinear points
Term
postulate 10
Definition
if two points lie in a plane then the line containing them lies on the plane
Term
postulate 11
Definition
if two planes intersect, then their intersection is a line
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