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.
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is the answer D ??
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.