Which conclusion can be drawn based on the true statements shown?
We have been given two true statements.
Statement 1: "If a line segment is a diameter, then it is the longest chord in a circle."
Statement 2: "Line segment AB is a diameter."
now we have to identify which of the following option, best describes the conclusion.
We see that Statement 1 contains two statements in "If P then Q form".
While Statement 2 is "P" form
Law of syllogism says "if a = b and b = c then, a = c." But we don't see such structure in given statements.
Hence answer will be law of detachment which says "If p then q is true, P is true then q must be true"
which matches with choice 2 is correct.
Hence final answer will be "Based on the law of detachment, line segment AB is the longest chord in a circle."