# Ms.Kristal, postulates/theorems MATH

## 20 terms · geometry, vocab, postulates etc. theorems

### postulate

the intersection of two lines is a point

### postulate

the intersection of two planes is a line

### postulate

through any two points there is exactly one line

### postulate

if two points are in a plane then the line containing them is in the plane

### segment congruence postulate

if 2 segments have the same length as measured by a given fair ruler, then the segments are congruent. Also, if two segments are congruent, then they have the same length as measured by a given ruler.

if point R is between points P and Q on a line, then PR+RQ=PQ

if point S is in the interior of <PQR, then m<PQS+m<SQR=m<PQR

### angle congruence postulate

if two angels have the same measure, then they are congruent. if two angles are congruent, then they have the same measure

### linear pair property

if two angles form a linear pair, then they are supplementary

### If-Then Transitive property

Given:"If A, then B, and if B, then C.: You can conclude "If A, then C"

if a=b, then a+c=b+c

### subtraction property

if a=b, then a-c=b-c

### multiplication property

if a=b, then ac=bc

### division property

if a=b and c does not =0, then a/c=b/c

### substitution property

if a=b, you may replace a with b in any true equation containing a and the resulting equation will still be true.

### reflexive property of equality

for any real number a, a=a

### symmetric property of equality

for all real numbers a and b, if a=b, then b=a

### transitive property of equality

for all real numbers a, b, and c, if a=b and b=c, then a=c.

### overlapping angles theorem

given <AOD with points B and C in its interior, the following statements are true: 1. If m<AOB=m<COD, then m<AOC=m<BOD. 2.If m<AOC=m<BOD, then m<AOB=m<COD.

### congruent supplements theorem

if two angles are supplements of congruent angles, then the two angles are congruent.