30 terms

Geometry Proof Stuff

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Definition of Congruent Segments
Segments that have the same length
Definition of Midpoint
M is the midpoint of AB if AM=MB
Definition of Segment Bisector
Any segment, line, or plane that intersects a segment at its midpoint
Right Angle
measure is 90
Definition of Congruent Angles
If m<1=m<2, then <1≅<2
Definition of Angle Bisector
A ray, line, or plane that divides an angle into 2 congruent angles
Vertical Angles are Congruent
<1≅<3
Sum Linear Pair Equal 180
m<1+m<2=180
Definition of Complementary Angles
Sum of measures is 90
Definition of Supplementary Angles
Sum of measures is 180
Definition of Perpendicular Lines
2 lines that intersect to form right angles
Midpoint Theorem
If M is the midpoint of ---AB, then ---AM≅---MB
Addition Property
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\=0, then a/c=b/c
Distributive Property
a(b+c)=ab+ac
Substitution Property
If a=b, then a may be replaced by b in any equation or expression
Reflexive Property
a=a
Symmetric Property
If a=b, then b=a
Transitive Property
If a=b, and b=c, then a=c
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
Congruents of Segments
Reflexive, symmetric, and transitive
Angle Addition Postulate
If R is in the interior of <PQS, then <PQR+<RQS=<PQS
Supplement Theorem
If 2 angles form a linear pair, then the 2 angles are supplementary
Complement Theorem
If the non common sides of 2 adjacent angles form a right angle, then the angles are complementary.
Congruents of Angles
Reflexive, symmetric, transitive
Complementary congruent angles are congruent
Comp ≅ <s ≅
Supplementary congruent angles are congruent
Supp ≅ <s ≅
All right angles are congruent
All rt <s are ≅