Chapter 1

Question 0

Conjecture

Answer 0

A conclusion you reach during inductive reasoning

Question 1

Inductive Reasoning

Answer 1

Is reasoning that is based on patterns you observe. If you observe a pattern in a sequence you can use inductive reasoning to tell what the next term in the sequence will be

Question 2

Counter example

Answer 2

To a conjecture is an example for which the conjecture is incorrect - proving it false

Question 3

Point

Answer 3

Has no size. It is represented by a small dot and is named by a capital letter

Question 4

Space

Answer 4

Defined as the set of all points

Question 5

A line

Answer 5

Is a series of points that extends in two opposite directions without end

Question 6

Collinear points

Answer 6

Are points that lie on the same line

Question 7

A plan

Answer 7

Is a flat surface that has no thickness. it contains many lines and extends without end in the directions of all it’s lines. Name it with a single capital letter or at least 3 of its non collinear points.

Question 8

Postulate or Axiom

Answer 8

Is an accepted statement of fact

Question 9

Postulate 1-1

Answer 9

Through any two points there is exactly one line

Question 10

Postulate 1-2

Answer 10

If two lines intersect then they intersect in exactly one point

Question 11

Postulate 1-3

Answer 11

If two planes intersect the intersect at exactly one line

Question 12

Postulate 1-4

Answer 12

Through any three non collinear points there is exactly one plane

Question 13

A segment

Answer 13

The part of a line consisting of two end points and all points between them

Question 14

A ray

Answer 14

Is the part of a line consisting of one endpoint and all points of the line on one side of the endpoint

Question 15

Opposite Rays

Answer 15

Two collinear rays with the same endpoint. Also they always form a line

Question 16

Parallel lines

Answer 16

Lines that do not intersect

Question 17

Skew line

Answer 17

Non-Coplanar not parallel and do not intersect

Question 18

Parallel plane

Answer 18

Planes that do no intersect a line and a plane that do not intersect are also parallel

Question 19

Postulate 1-5 ruler postulate

Answer 19

The points of a line can be put into one to one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding number

Question 20

Postulate 1-6 Segment Addition

Answer 20

If three points A,B, and C are collinear and B is between A and C ten AB + Bc = AC

Question 21

Coordinate

Answer 21

Distance from the origin

Question 22

Congruent

Answer 22

Two segments with the same length

Question 23

Midpoint of segment

Answer 23

A point that divides the segment into two congruent segments. A midpoint or any line, ray of other segment through a midpoint, is said to have bisect the segment

Question 24

Postulate 1-7 protractor postulate

Answer 24

Let OA(Ray) and OB(Ray) be opposite rays in a plane. OA and OB an all the rays with a endpoint of O that can be drawn on one side of AB( Line) can be paired with the real numbers from 0-180 so that OA is paired with 0 and Ob is paired with 180 . If OC is with x and OD with Y then m<COD = |x-y|

Question 25

Postulate 1-8 Angle addition

Answer 25

If point B is in the interior of <BOC = 180

Question 26

Angle

Answer 26

Is formed by two rays with the same endpoint

Question 27

Acute Angle

Answer 27

Less than 180 degree angle

Question 28

Obtuse angle

Answer 28

Greater than 90 degrees but less than 180 degrees

Question 29

Straight Angle

Answer 29

180 degree always

Question 30

Congruent angle

Answer 30

Are angles with the same measure

Question 31

Vertical angles

Answer 31

Are two angles who’s sides are opposite rays

Question 32

Adjacent angles

Answer 32

Are two Coplanar angles with a common side, common vertex, and no common internal points

Question 33

Complimentary Angles

Answer 33

Are two angles who’s measure have a sum of 90 degrees

Question 34

Supplementary angles

Answer 34

Are two angles who’s measures have a sum of 180 degrees

Question 35

Distance formula

Answer 35

The distance between two point can be found by this

Question 36

Midpoint formula

Answer 36

Coordinates of the midpoint m of segment AB with end points