Maria wrote the sentence shown below.

“If two lines intersect, then they intersect in exactly one point“

Which of these statements is true about Maria’s sentence?

It is a theorem because it is a true statement which can be proved.

It is a postulate because it is a statement which is assumed true without proof.

It is a postulate because it is a true statement which can be proved.

It is a theorem because it is a statement which is assumed true without proof.

Question

Maria wrote the sentence shown below.
 
“If two lines intersect, then they intersect in exactly one point“                 
                                                  
Which of these statements is true about Maria’s sentence?

 It is a theorem because it is a true statement which can be proved.

 It is a postulate because it is a statement which is assumed true without proof.

 It is a postulate because it is a true statement which can be proved.

 It is a theorem because it is a statement which is assumed true without proof.

anonymous · Answer

is the answer D ??

oaktree · Answer

No. Theorems have to have proofs. This is actually answer choice b. This is something that cannot be proven, but is still accepted to be true. Fun fact: it's actually part of Euclid's five original postulates. Since anything that is assumed to be true without proof is a postulate, the answer is B.

oaktree · Answer

Thanks for the medal.

anonymous · Answer

thanks so much for helping me, i thought it was a postulate but thank you