Geometry: chapter 1

Question 0

ray

Answer 0

all points on a line on one side of an endpoint

Question 1

segment of a line

Answer 1

two points of a line and all the points between them

Question 2

opposite rays

Answer 2

the set of points on a line on opposite side of an endpoint

Question 3

length of a line segment

Answer 3

distance between the endpoints

Question 4

postulate

Answer 4

a statement we accept as true without proof

Question 5

postulate 1: ruler postulate

Answer 5

the points on a line can be paired with real numbers in such a way that any two points can have coordinates 0 and 1
once a coordinate system has been chosen in this way the distance between any two points equals the absolute value of the difference of their coordinates

Question 6

postulate 2: ruler postulate

Answer 6

If B is between A and C then AB+BC=AC

Question 7

congruent

Answer 7

two objects that have the same size and same shape

congruent segments aer segments that have the same length

Question 8

midpoint of a segment

Answer 8

the pointts that divides a segment into two congruent segments

Question 9

bisector of a segment

Answer 9

a line segment, ray or plane at intersects the segment at its midpoint

Question 10

space

Answer 10

set of all points

Question 11

plane

Answer 11

intuitive idea

Question 12

colinear points

Answer 12

points all in one line

Question 13

coplanar points

Answer 13

points all in one plane

Question 14

intersection of two figures

Answer 14

set of points that are in both figures

Question 15

angle

Answer 15

figure formed by two rays that have the same endpoint

Question 16

sides of the angle

Answer 16

two rays that form the angle

Question 17

vertex

Answer 17

common endpoint of the angle

Question 18

postulate 5

Answer 18

A line contains at least two points a plane contains at least three points not all-in-one line space contains at least four points not all in one place

Question 19

postulate 6

Answer 19

through any two points there is exactly one line

Question 20

postulate 7

Answer 20

through any three points there is at least one plane and through any three noncollinear points there is exactly one plane

Question 21

postulate 8

Answer 21

If two points are in a plane than the line that contains the points are in that plane

Question 22

postulate 9

Answer 22

if two planes intersect then their intersection is a line

Question 23

theorems

Answer 23

important statements that are proved

Question 24

theorem 1-1

Answer 24

If two lines intersect then there intersect is exactly one point

Question 25

theorem 1-2

Answer 25

Through a line and a point not in that line there is exactly one plane

Question 26

theorem 1-3

Answer 26

If two lines intersect then exactly one plane contains the line