Are perpendicular lines the same as intersecting lines?
No.
Hmph.
Thanks though.
No, perpendicular lines are not the same as intersecting lines.
Perpendicular lines are a special type of intersecting lines. Two lines are perpendicular if they meet or intersect at a right angle (90 degrees). In other words, one line is perpendicular to another if they form an "L" shape at their point of intersection.
On the other hand, intersecting lines simply refer to lines that cross or meet at some point, without any specification about the angle between them. Intersecting lines can form any angle between 0 and 180 degrees.
To determine if two lines are perpendicular, you can follow these steps:
1. Find the slopes of the two lines.
2. If the product of the slopes is -1 (the negative reciprocal), then the lines are perpendicular.
3. If the product of the slopes is not -1, then the lines are not perpendicular.
Remember that this method only applies to lines in a coordinate plane. In more abstract settings, like euclidean geometry, different criteria may be used to determine perpendicularity.