Q: What are perpendicular lines in geometry?

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Perpendicular lines intersect at right angles.

They are parts of geometry

Line segments, perpendicular lines, and intersecting lines.

yes

I believe they have Negative Slopes as stated by my Geometry Book. "Perpendicular Lines Have Slopes Which Are Negative ___"

Related questions

In Euclidean plane geometry, two lines which are perpendicular not only can but must intersect. (I believe the same is true for elliptic geometry and hyperbolic geometry.)

In Euclidean plane geometry, two lines which are perpendicular not only can but must intersect. (I believe the same is true for elliptic geometry and hyperbolic geometry.)

Perpendicular lines intersect at right angles.

They are parts of geometry

Line segments, perpendicular lines, and intersecting lines.

perpendicular lines

yes

I believe they have Negative Slopes as stated by my Geometry Book. "Perpendicular Lines Have Slopes Which Are Negative ___"

By definition, perpendicular lines are those which meet in a right angle. So, yes, they have to meet in order to be "perpendicular". Parallel lines may, or may not, meet, depending on how you choose your axioms. In Euclidean geometry, parallel lines never meet. In certain types of non-Euclidean geometry, they can meet.

If the angle formed between the intersecting lines are 90o then the two lines are perpendicular. In 2D coordinate geometry, a perpendicular line has a slope equal to the negative reciprocal of the original line.

8

In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).