Download Unit 1 and 2 definitions, postulates, theorems, and

Unit 1 and 2 definitions, postulates, theorems, and properties
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Definitions
Chapter:
Details:
1
Def. of congruent segments
Chapter 1
Segments that have the same measure. (can change equal to congruent and congruent to equal)
3
Def. of midpoint
Chapter 1
A point that divides, or bisects, a segment into two congruent segments. (Set the 2 segments congruent to each other)
4
Def. of segment bisector
Chapter 1
A point, ray, line, segment, or plane that intersects a segment at its midpoint. (Set the 2 segments congruent to each other)
5
Def. of congruent angles
Chapter 1
Angles that have the same measure. (can change equal to congruent and congruent to equal)
7
Def. of angle bisector
Chapter 1
A ray that divides an angle into two angles that are congruent. (Set the 2 angles congruent to each other)
8
Def. of right angles
Chapter 1
An angle with measure equal to 90. (set angle equal to 90)
9
Def. of perpendicular lines
Chapter 1
Two lines that intersect to form a right angle. (the angle is a rt angle)
10
Def. of complementary angles
Chapter 1
Two angles who sum is 90. (Add and set equal to 90)
11
Def. of supplementary angles
Chapter 1
Two angles who sum is 180. (Add and set equal to 180)
Inside Cover
Def. of linear pair
Chapter 1
Two adjacent angles whose noncommon sides are opposite rays
Inside Cover
Def. of vertical angles
Chapter 1
Two angles whose sides form two pairs of opposite rays
Inside Cover
Def. of straight angle
Chapter 1
An angle who measure is equal to 180. (angle is equal to 180)
Postulates
2
Segment addition postulate
Chapter 1
If B is between A and C, then (AB + BC = AB).
6
Angle addition postulate
Chapter 1
If P is on the interior of <RST, then (m<RSP + m<PST = m<RST)
Linear pair postulate
Ch 2.7
If two angles form linear pairs, then they are supplementary. (angles are supplementary)
15
Theorems
Inside Cover
Properties of segment congruence
Ch 2.5
Reflexive, symmetric, transitive (see notes)
Inside Cover
Properties of angles congruence
Ch 2.5
Reflexive, symmetric, transitive (see notes)
12
Right angle congruence theorem
Ch 2.7
All right angles are congruent (set angles equal)
14
Congruent supplement theorem
Ch 2.7
If two angles are supplementary to the same angle, then the two angles are congruent (set angles equal)
13
Congruent complement theorem
Ch 2.7
If two angles are complementary to the same angle, then the two angles are congruent (set angles equal)
16
Vertical angles congruence theorem
Ch 2.7
Vertical angles are congruent(Set the 2 angles equal to each other)
Algebraic Properites
Inside Cover
Reflexive property
Ch 2.5
a=a
Inside Cover
Symmetric property
Ch 2.5
if a = b then b = a
Inside Cover
Transitive property
Ch 2.5
if a = b, and b = c, then a = c.
Inside Cover
Addition property
Ch 2.5
if a = b, then a + c = b + c
Inside Cover
Subtraction property
Ch 2.5
if a = b, then a - c = b - c
Inside Cover
Multiplication property
Ch 2.5
if a = b, then a (c) = b (c)
Inside Cover
Division property
Ch 2.5
if a = b, then a / c = b / c
Inside Cover
Substitution Property
Ch 2.5
if a = b, then "a" may be replaced by b in any equation
Inside Cover
Distributive Property
Ch 2.5
a (b + c) = ab + ac