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30 terms

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 ≅