How do you determine whether two lines are parallel perpendicular or neither?
If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. Their intersection forms a right, or 90-degree, angle.
What determines if 2 lines are perpendicular?
If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane. The slopes of two perpendicular lines are negative reciprocals.
What is parallel and perpendicular lines?
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
What happens when two lines are parallel?
Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Corresponding Angles are angles that are on the same side of the transversal and on the same side of each intersected line.
Are perpendicular lines opposite reciprocals?
Correct answer: Perpendicular lines have slopes that are negative reciprocals of one another. The given line’s slope is 5, which means that the slope of the other line must be its negative reciprocal.
Which lines are perpendicular lines?
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other.
What is the opposite reciprocal of 5 2?
−25
The opposite of 25 is −25 . The reciprocal of 25 is 52 .