Question: Can Two Lines Intersect And Be Perpendicular?

How are perpendicular lines similar to intersecting lines?

1 Answer.

Two lines that intersect are simply two lines that at some point touch each other (cross each other).

Two perpendicular lines are two lines that intersect, but also the angle of intersection must be 90 degrees..

What is the rule for perpendicular lines?

In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.

What are two lines that 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 are intersecting lines that are not perpendicular?

Parallel lines never meet, and perpendicular lines intersect at a right angle. and do not intersect in this image, but if you imagine extending both lines, they will intersect soon. So, they are neither parallel nor perpendicular.

Are perpendicular lines equidistant?

Every point on a perpendicular bisector of the side of a triangle or other polygon is equidistant from the two vertices at the ends of that side. … In hyperbolic geometry the set of points that are equidistant from and on one side of a given line form a hypercycle (which is a curve not a line).

Do perpendicular lines form a 60 angle?


What happens when two perpendicular lines intersect?

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines in the plane, you get −1 . That is, the slopes of perpendicular lines are opposite reciprocals .

Where do 2 perpendicular lines intersect?

Perpendicular lines intersect at a 90-degree angle. The two lines can meet at a corner and stop, or continue through each other.

What is perpendicular lines example?

To be perpendicular, they only need to have opposite reciprocal slope. For example, the lines, y=3x+8 and y= -(1/3)x-3 would be perpendicular because -1/3 is the opposite reciprocal of 3.

How do you know if a line is perpendicular?

Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other.

Do perpendicular lines have to meet?

When two lines are perpendicular, the slope of one is the negative reciprocal of the other. Note too that the lines to do not have to intersect to be perpendicular. … In Fig 1, the two lines are perpendicular to each other even though they do not touch.

Will parallel lines ever meet?

In projective geometry, any pair of lines always intersects at some point, but parallel lines do not intersect in the real plane. … Every line intersects the line at infinity at some point. The point at which the parallel lines intersect depends only on the slope of the lines, not at all on their y-intercept.

Can the same two lines be parallel/perpendicular and intersecting at the same time?

You can have corresponding angles when you only have two intersecting lines. Corresponding angles are in the same place given the intersection. Parallel lines will never intersect. Perpendicular lines intersect at a 90 degree angle.