Question

Statement 1: A line segment is a part of a line that has two endpoints.
Statement 2: A ray is a part of a line that has one endpoint and continues in one direction infenitely

Which of these options is correct?
a. Statement 1 represents a postulate and statement 2 represents a definition
b. Statement 1 and Statement 2 represents definitions because they explain the meaning of terms
c. Statement 1 represents a definition and statement 2 represents a theorem
d. Statement 1 and statement 2 represent postulates because they can be proved.

Answer 1

which one do u think

Answer 2

B

Answer 3

Is that right?

Answer 4

thats right ! both are definitions becoz they're defining something using the undefined terms - line and point.

Answer 5

Can yyou answer another question for me plz?

Answer 6

sure ask :)

Answer 7

Megan read the sentance shown below.
" If two distinct planes intesect, then they intersect in exactly on line.'"
Which of these statements is true about what Megan read.
a. It is a theorem because it is a statement which is assumed true without proof.
b. It is a postulate because it is a statement which can be used to prove a statement
c. It is a postulate beause it is a true statement which can be proved
d. It is a theorem because it is a true statement which can be proved.

I think its D

Answer 8

it cannot be proven, try again

Answer 9

its called intersecting planes postulate

Answer 10

so, its a postulate and it cannot be proven, but it can be used to prove other statements/theorems

Answer 11

So its C
Plus, can you explain to me the difference between a postulate and a theorem.

Answer 12

B?

Answer 13

I'm confused.

Answer 14

B = \(\checkmark\)

Answer 15

you need to knw the meaning and difference between below terms :
1) undefined terms/defined terms
2) postulate/theorem

Answer 16

a postulate is the starting point, which is self-evident. we assume it as true.

Answer 17

there are few postulates in geometry. we assume these postulates are true, and use these postulates to prove theorems.

Answer 18

il give u an example

Answer 19

can u prove you have 2 hands ?

Answer 20

yes, u can prove, u can simply stretch ur hands and show - its proved

so its not a postulate

Answer 21

the statement , "i have two hands" is not a postulate

Answer 22

can u prove, A comes before B in english alphabets ?

Answer 23

you cannot prove it, becoz its just a convention, but everybody knows that A comes before B

Answer 24

so the statemetn "A comes before B in english alphabets" is a postulate

Answer 25

its a postulate precicely becoz we take it for granted that its true always, we never doubt it, everybody knows A comes before B, and, it cannot be proven.

Answer 26

what is axiom?

Answer 27

i think the terms, axiom and postulate are interchangeably in geometry. there is no difference between the two terms. both refer to the same thing : startpoint, not provable

Answer 28

so u mean that by starting or using with these postulates or axioms theroms are proved

Answer 29

in science they can mean two different things - axiom and postulate

but in geometry, there is no difference.

Answer 30

do u mean that these are facts where we can blindly reley on them or not in dat way

Answer 31

thats right ! we need to start somewhere. its not about blindly relying, u can test them, they are true always.

we have 3 undefined terms in geometry : point, line, and, plane
using these undefined terms, we define ALL other terms

similarly, we have few postulates in geometry,
using these postulates + undefined terms + defined terms, we prove theorems.

Answer 32

once we prove a theorem, we can use it to prove other theorems

Answer 33

and so on and so forth...

Answer 34

thats how we expand any science

Answer 35

ya u r right we cant rightly define point but we use them for other terms

Answer 36

the key thing is, we assume few *self-evident* facts as true, and based on these assumptions we go ahead and look for order in everything.

Answer 37

a point is just a location. everybody knows it as such

Answer 38

a line is just a stream of points extending in opposite directions infinitely

Answer 39

a plane is just a flat surface extending forever

Answer 40

mathematicians are happy with above definitions for these 3 undefined terms.

Answer 41

thanks ganeshie8

Answer 42

yw

Answer 43

THANNKK YOOUU SSOO MMUCCCHH ganeshie8!!!