What describes a situation where two lines are perpendicular?

What describes a situation where two lines are perpendicular?

• A. The intersection results in an obtuse angle
• B. The intersection angle measures exactly 90 degrees
• C. The slopes are both positive
• D. The distances between the lines are equal

Answer: (B)

A situation where two lines are perpendicular is defined by their intersection creating a right angle. When two lines meet and form an angle that measures exactly 90 degrees, they are classified as perpendicular lines. This right angle is significant because it indicates that the direction of one line is at a complete turn compared to the other, making their relationship unique in geometry. The other choices do not accurately describe perpendicular lines. An obtuse angle, which is greater than 90 degrees, would not signify perpendicularity. The relationship of slopes being both positive does not inherently mean that the lines are perpendicular, as lines with positive slopes can have various angles of intersection that are not necessarily right angles. Lastly, equal distances between the lines implies parallelism or another specific arrangement but does not define the intersection angles necessary to determine perpendicularity. Thus, the correct description of two lines being perpendicular is when they intersect at an angle that measures exactly 90 degrees.

A situation where two lines are perpendicular is defined by their intersection creating a right angle. When two lines meet and form an angle that measures exactly 90 degrees, they are classified as perpendicular lines. This right angle is significant because it indicates that the direction of one line is at a complete turn compared to the other, making their relationship unique in geometry.

The other choices do not accurately describe perpendicular lines. An obtuse angle, which is greater than 90 degrees, would not signify perpendicularity. The relationship of slopes being both positive does not inherently mean that the lines are perpendicular, as lines with positive slopes can have various angles of intersection that are not necessarily right angles. Lastly, equal distances between the lines implies parallelism or another specific arrangement but does not define the intersection angles necessary to determine perpendicularity. Thus, the correct description of two lines being perpendicular is when they intersect at an angle that measures exactly 90 degrees.