Chapter 1.1, 1.2, 1.3, 1.4, 1.5,

Multiplication-Division Law

2x=24 x=12

Distributive Law

4x+7x=11x (4+7)x=11x

Angle Addition postutalate

<CBP + <PBA = <ABC

Vertical angles

Def: two non- adjacent angles formed by two intersecting lines Theorem: vert. <'s are equal in measure

Adjacent angles

Two angles that: 1. share common vertex 2. share a common side 3. have no interior points

Two equal supp. angles

Two equal supp. <'s are right angles (90 each)

plane

a flat surface, two dimensions and extending without boundary

space

a set of all points on a 3D space

Straight angle

an angle whose sides form a line and the measure of a straight angle is 180.

Right angle

an angle with a measure of 90.

point

an object that determines position but has no dimension

Obtuse angle

angle whose measure is between 90 and 180.

Acute angle

angle whose measures is between 0 and 90.

set

collection of objects

Angle

geom. figure formed by two rays that share a common endpoint

Inductive reasoning

reaching general conclusion based on a limited number of specific observation (small to big)

Deductive reasoning

reaching specific conclusion based on a collection generally accepted assumptions (big to small)

line

set of points on a one-dimensional straight figure that extends in opposite directions without ending

Complementary angles

two angles those measures total to 90

Supplementary angles

two angles total to 180

Addition-Subtraction

x+y=6 x-y=6 ---------- 2x=8 x=4

Substitution

x=6 and x+2=8, then 6+2=8

Reflexive Law

x=x

Symmetric Law

x=y, then y=x

Transitive Law

x=y, y=z, then x=z