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therorem/postulate/property
geomentry study guide
19
Mathematics
10th Grade
10/08/2008

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Term
midpoint theorem
Definition
if m is the midpoint of (line)AB(congruent)=(line)MB
Term
reflexive property
Definition
(Line)AB(congruent)=(line)AB
Term
symmetric property
Definition
if (line)AB(congruent)=(Line)AB
Term
transitive property
Definition
is (line) AB (congruent)= (line)CD
and (line)CD(congruent)=(line)EF,then (line) AB (congruent)=(line)EF
Term
Addition/subtraction properties
Definition
for all numbers,a,b,and c, if a=b,then a+c=b+c and a-c+b-c
Term
multiplication/division properties
Definition
for all numbers a,b and c,if a=b,then A x B = B x C and if ( not =)0, a/b = b/c
Term
substitution property
Definition
for all numbers a,b and c,if a=b ,then A may replaced by B in any equation or expression
Term
distributive property
Definition
for all numbers a,b, and c, a(b+c) = AB +ac
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
definition of a congruent segments
Definition
segments that have the same measure
Term
definition of midpoint
Definition
the point halfway between the endpoints of a segments
Term
supplement theorem
Definition
if two angles form a linear pair,then they are supplementary angles
Term
complement theorem
Definition
if the non common side of two adjacent angles form a right angle,then the angles are complementary angles
Term
vertical angles theorem
Definition
if two angle are vertical angle then they are congruent.
Term
definition of congruent angles
Definition
angles that have the same measure
Term
definition of a angle bisector
Definition
a ray that divides an angle into two congruent angles
Term
definition of complementary angles
Definition
two angles with measures that have sum of 90
Term
definition of supplementary angles
Definition
two angles of with measures that have a sum of 90
Term
definition of a right angles
Definition
an angle with a degree measure of 90
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