math(short reviewer)

Question 1

is any system that can be written in the form
ax+by=p
cx+dy=a

Answer 1

system of linear equation in two variables

Question 2

assignment of values to x and y so that all equations are satisfied

Answer 2

solution

Question 3

lines that intersect have __solution and are_____

Answer 3

1 solution and consistent and independent

Question 4

lines that coincide have__solution and are _____

Answer 4

have infinite solution and are consistent and dependent

Question 5

lines that are parallel have___and are____

Answer 5

no solution and inconsistent

Question 6

terms which cannot be precisely defined

Answer 6

undefined terms

Question 7

terms that have a formal definition

Answer 7

defined terms

Question 8

terms that are generally accepted as true without proof

Answer 8

axioms/postulates

Question 9

statement that can be proven

Answer 9

theorem

Question 10

Is an undefined term, a position in space without height,width and dimension and is named by one CAPITAL LETTER

Answer 10

point

Question 11

is an undefined term, a continuous arrangeent of points and It’s length is infinite and is name by a single lowercase script letter or by any two points

Answer 11

Lines

a line is determined by 2 points

Question 12

a flat surface that extends infinitely along it’s height and width but has no thickness, it is named by a single script capital letter or by 3 points not in the same line

an undefined term

Answer 12

plane

any 3 noncolinear points determine a pplane

Question 13

points that lie on the same line

Answer 13

collinear

Question 14

points that do not line in the same line

Answer 14

non collinear

Question 15

points that lie in the same plane

Answer 15

coplanar points

Question 16

points that do not lie in the same plane

Answer 16

non coplanar

Question 17

enumeration, enumerate theses postulates from 1-6

_____2 points determine a line
_______through any 3 non colinear points there is one plane
_______if there are 2 points that lie in a plane a line would be joining them
______a plane contains atleast 3 non colinear points
_______through any 2 points there is exactly one line
______if 2 plane intersect then their intersection would be a line

Answer 17

1- 2 points determine a line
4- through any 3 non colinear points there is one plane
5- if there are 2 points that lie in a plane a line would be joining them
2- a plane contains atleast 3 non colinear points
3- through any 2 points there is exactly one line
6-if 2 plane intersect then their intersection would be a line

Question 18

what is the theorem

if 2 lines intersect they intersect in exactly one 1 point

Answer 18

theorem 1

Question 19

what is this theorem?

if 2 lines interesect there is exactly one plane that contains both

Answer 19

thorme 3

Question 20

what is this theorem?

if a point lies out of a line then there is a plane that contains them both

Answer 20

theorem 2

Question 21

is a compound statement of the form “if p then Q”

also called an if then statement

Answer 21

conditional statement

Question 22

p is the what qand it begins with ifj?

Answer 22

hypothesis

Question 23

what is p?

usually begins with then

Answer 23

conclusion

Question 24

is a tentative assumption made in order to draw out logical consequences

Answer 24

hypothesis

Question 25

is the necessary consequence of one or more propositions

Answer 25

conclusion

Question 26

formed by interchanging the conclusion and the hypothesis( if q then p)

Answer 26

converse

Question 27

formed by interchanging the hypothesis and the conclusion and negating them both( if not q then not p)

Answer 27

contrapositive

Question 28

formed by negating both the hypothesis and conclusion(if not p then not q)

Answer 28

inverse