Question

decide if this biconditional statement is true or false. two lines are perpendicular if and only if they do not intersect. false true

Explanation:

Step1: Analyze the definition of perpendicular lines

Perpendicular lines are defined as two lines that intersect at a right angle ($90^{\circ}$).

Step2: Analyze the given statement

The statement claims that two lines are perpendicular if and only if they do not intersect. But from the definition in Step 1, perpendicular lines do intersect (at a right - angle). Also, non - intersecting lines are called parallel lines (in a 2D plane). So the given biconditional statement is False.

Answer:

False