Proofs, Postulates, and Theorems

21 terms

right angle congruence theorem

all right angles are congruent

congruent supplament theorem

if 2 angles are supplamentary to the same angle, then the angles are congruent

congruent compliment theorem

if 2 angles are complimentary to same angle, then the angles are congruent

vertical angle congruence theorem

all vertical angles are congruent

liniar pair postulate

if 2 angles form a liniar pair, then they must be supplementary

AB=AB

AB=BC and BC=AB

transitive property of equality

if AB= BC and BC=CD, then AB=CD

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

subtraction property

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

multiplication property

if a=b, then axb=bxc

division property

if a=b, then a/c=b/c

5(x+2)=5x+10

substitution property

if a=b, then b can replace a in any expression

line

through any two points, there exists exactly one line

line

a line contains at least 2 points

line

if 2 lines intersect their intersection is exactly one point

plane

throught any 3 noncoliniar points their exists exactly one plane

plane

a plane consists of at least 3 points

plane and line

if 2 points lie on a plane, the line containing them lies in the plane

plane and line

if 2 planes intersect, their intersection is on one line