Question

youre building a backdrop so there wont be distractions in the background of your videos. the backdrop will be supported by two perpendicular supports, as shown in the image. which definition best describes what it means for lines ab and cd to be perpendicular? line ab is perpendicular to line cd if ab and cd intersect to form supplementary angles. ab is perpendicular to line cd if ab and cd intersect at a 45 - degree angle. line ab is perpendicular to line cd if their intersection forms a right angle. line ab is perpendicular to line cd if the measure of ∠aoc equals the measure of ∠aob.

Explanation:

• Supplementary angles sum to \(180^{\circ}\), which is not the definition of perpendicular lines.
• Perpendicular lines form \(90^{\circ}\) (right - angle), not \(45^{\circ}\).
• By the definition of perpendicular lines, if two lines intersect to form a right - angle (\(90^{\circ}\)), they are perpendicular.
• The equality of \(\angle AOC\) and \(\angle AOB\) (assuming \(O\) is the intersection point) is not the standard definition of perpendicular lines.

Answer:

Line \(AB\) is perpendicular to line \(CD\) if their intersection forms a right angle.