Identify the statement(s) that are both biconditional and true.

Question

Identify the statement(s) that are both biconditional and true. Two points are on the same line if and only if exactly one plane passes through them Three points lie in more than one plane if and only if the points are on the same line. When two points are on the same line, exactly one plane passes through them. Exactly one plane passes through three points if and only if the points are on the same line.

Answer 1

"if & only if" is the biconditional, that's in 3 of the 4 statements

but they aren't all true

the 1st biconditional is false, as more than one plane can pass through 2 points on the same line

the 2nd biconditional is true. 3 points on the same line will be in more than one plane. If they are not on the same line, connect them & you get a triangle which is in only one plane

the 3rd statement is not a biconditional and is also false. If 2 points are on the same line, more than one plane passes through them.

the 3rd biconditional, the 4th or last statement is false. If 3 points are on the same line, more than 1 plane passes through them. An infinite number of planes pass through them.

Only the 2nd statement is both a biconditional and true.