What are two lines that are perpendicular?

Asked By: Donnette Fung | Last Updated: 29th May, 2020
Category: science space and astronomy
4.8/5 (198 Views . 36 Votes)
Two parallel lines won't ever intersect. 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.

Click to see full answer


Consequently, what is an example of a perpendicular line?

Perpendicular lines are two lines that intersect in such a way that they have a right angle, or a 90 degree angle, between them. For example, perpendicular lines can be observed on floor tiles, on fences, on traffic signs, or on furniture. These are just a few examples.

One may also ask, how do I know if lines are perpendicular? Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.

Also Know, what makes a perpendicular line?

Perpendicular lines are lines whose slopes are negative reciprocals of one another. The lines intersect to form right angles. Negative reciprocals are two numbers that when they are multiplied together have product of -1.

What are some examples of perpendicular lines?

They are perpendicular because they cross at right angles to each other. If you look at them, they kind of make long rectangles. Another good example of perpendicular lines we can see in nature are a football field. All four corners of a football field are perpendicular to each other.

16 Related Question Answers Found

What's a perpendicular line look like?

Thus, a perpendicular line looks like a line that has a 90 degree angle between it and another line. The upside down T (? ) means “is perpendicular to.” The illustration above says “AB is perpendicular to MN”. You can also say “MN is perpendicular to AB” and it means exactly the same thing.

Are parallel lines congruent?

If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. Interior Angles on the Same Side of the Transversal: The name is a description of the "location" of the these angles.

Are parallel lines coplanar?

Two lines are parallel lines if they are coplanar and do not intersect. Lines that are not coplanar and do not intersect are called skew lines. Two planes that do not intersect are called parallel planes.

What is an example of a parallel line?


For example, squares, rectangles, and parallelograms have sides across from each other that are parallel. Each line has many parallels. Any line that has the same slope as the original will never intersect with it. Lines that would never cross, even if extended forever, are parallel.

What is the difference between perpendicular and parallel lines?

Slope. Two lines are said to be parallel when they are equidistant from each other and will never intersect or touch. In simple terms, the slope of two parallel lines is equal. Slope of perpendicular lines, on the other hand, are negative reciprocals of each other meaning the lines cross each other at right angle.

What number is perpendicular to?

A line is perpendicular to another if it meets or crosses it at right angles (90°). Perpendicular means "at right angles". A line meeting another at a right angle, or 90° is said to be perpendicular to it. In the figure above, the line AB is perpendicular to the line DF.

What is the formula for a perpendicular line?

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

What is a perpendicular bisector of a line?

Definition: A line which cuts a line segment into two equal parts at 90°. Try this Drag one of the orange dots at A or B and note the the line AB always divides the segment PQ into two equal parts. When it is exactly at right angles to PQ it is called the perpendicular bisector.