Question

Analyze the biconditional statement below and complete the instructions that follow.Two lines are perpendicular if and only if they form right angles.Express the given biconditional as the conjunction of two conditionals.

Answer 1

The given compound statement is "Two lines are perpendicular if and only if they form right angles".

The two statements are:

p: Two lines are perpendicular

q: Two lines form right angles.

The statements can be written in conjunction as:

`(p\rightarrow q)\wedge(q\rightarrow p)`

The above symbolic representation in statement form is:

If two lines are perpendicular, they form right angles, if they form right angles then two lines are perpendicular.

Hence option B is correct.