Question

answer the questions below.
(a) lena wrote a proof that included a statement about lines.
\line\ is best described as a(n) select
(b) tony claimed that a certain statement ab is true. the statement
has never been proven.
the statement is best described as a(n) conjecture.
theorem.
(c) salma claimed that a certain statement ab is true. she was then able
to prove that the statement is true.
the statement is best described as a(n) definition.
postulate.
(d) shen believes that a certain statement abc je, although there is no
proof that the statement is true.
the statement is best described as a(n) select
(e) lucy read a proof that included a certain statement. the statement is not a definition but is
accepted as true without being proven.
the statement is best described as a(n) select

Explanation:

(a)

In geometry (a subfield of Mathematics), an "undefined term" is a basic concept like line, point, or plane that is not formally defined but is used to define other concepts. A line is an undefined term in geometric proofs.

A conjecture is a statement that is believed to be true but has not been proven yet. Since Tony's statement has never been proven, it fits the definition of a conjecture.

A theorem is a statement that has been proven to be true. Salma was able to prove her statement, so it is a theorem.

Answer:

undefined term

(b)