True or false
In a plane, 2 lines are either parallel or perpendicular
false ... you can draw an X (like this one)
... two lines ... neither parallel , nor perpendicular
isnt that still perpendicular?
if this were true, you could not draw a triangle.
True.
To determine if two lines in a plane are parallel or perpendicular, we can use the slope of the lines.
1. If the slopes of the two lines are equal, the lines are parallel.
To find the slope of a line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two distinct points on the line.
If the slopes of the two lines are equal, then the lines are parallel. This means that they have the same steepness and will never intersect.
2. If the product of the slopes of the two lines is -1, the lines are perpendicular to each other.
In this case, if m1 and m2 are the slopes of the two lines, then m1 * m2 = -1.
If the product of the slopes is -1, then the lines are perpendicular. This means that they meet at a right angle and cross each other.
Therefore, in a plane, two lines are either parallel or perpendicular.