Question

ad and cd intersect at point o as shown below. select the most precise and correct statement about perpendicular lines from among those that are given. choose 1 answer: a $overleftrightarrow{ab}$ is perpendicular to $overleftrightarrow{cd}$ if the two lines intersect such that the measure of $angle aod$ equals the measure of $angle boc$. b $overleftrightarrow{ab}$ is perpendicular to $overleftrightarrow{cd}$ if the two lines intersect such that $angle aod$ is a right - angle. c $overleftrightarrow{ab}$ is perpendicular to $overleftrightarrow{cd}$ if the two lines never meet.

Explanation:

Perpendicular lines intersect at a 90 - degree (right) angle. Option A just states equal vertical - angles which is true for any intersecting lines. Option C describes parallel lines (lines that never meet). Option B correctly defines perpendicular lines as those that intersect such that one of the angles formed is a right angle.

Answer:

B. $\overleftrightarrow{AB}$ is perpendicular to $\overleftrightarrow{CD}$ if the two lines intersect such that $\angle AOD$ is a right angle.