Perpendicular lines intersect in exactly one point. true false submit

Q: Do perpendicular lines intersect in exactly one point?

Properties of Perpendicular Lines These lines always intersect at right angles. If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.

Q: Are perpendicular lines are intersecting lines True or false?

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Q: What is false about perpendicular lines?

The TRUE statement: The lines intersect and are perpendicular. This is true because the slopes of the two lines are opposite-reciprocals of each other. The FALSE statements: The lines intersect at the point . The lines actually intersect at the point .

Q: Do perpendicular lines have to intersect?

Perpendicular lines are lines that cross one another at a angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines. that never touch, perpendicular lines must intersect.

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12 Cards in this Set

Front
Back

One and only one distinct line can be drawn through two different points.

True

One and only one distinct plane can be made to pass through three non-collinear points.

True

One and only one distinct plan can be made to pass through one line and a point not on the line.

True

If a line intersects a plan not containing it, then the intersection is exactly one point.

True

If two lines are perpendicular to the same line, then they are parallel.

False

If two different planes intersect, then their intersection is a line.

True

If a line and a plane have no points in common, then they are parallel.

True

If two planes do not intersect, then they are parallel.

True

If a plane intersects two parallel planes, then the lines of intersection are parallel.

True

If three random planes intersect (no two parallel and no three through the same line), then they divide space into six parts.

False

If a line is perpendicular to two lines in a plane but the line is not contained in the plane, then the line is perpendicular to the plane.

True

If two lines are perpendicular to the same plane, then they are parallel to each other.

True

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Two non parallel lines in 3 space must intersect in at least one point. True or False? I say false because you can have two perpendicular lines on x and y, but on a different "level" of the z-axis.

Am I right?

asked Aug 12, 2014 at 13:49

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Yes you are right. Here is a more general fact: In a vector space $V$ of dimension $m$, and numbers $k,l$ with $k+l<m$ generically two affine subspaces of dimensions $k$ and $l$ do not intersect.

answered Aug 12, 2014 at 14:27

Thomas RotThomas Rot

9,65927 silver badges54 bronze badges

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Do perpendicular lines intersect in exactly one point?

Properties of Perpendicular Lines These lines always intersect at right angles. If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.

Are perpendicular lines are intersecting lines True or false?

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

What is false about perpendicular lines?

The TRUE statement: "The lines intersect and are perpendicular." This is true because the slopes of the two lines are opposite-reciprocals of each other. The FALSE statements: "The lines intersect at the point ." The lines actually intersect at the point .

Do perpendicular lines have to intersect?

Perpendicular lines are lines that cross one another at a angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines. that never touch, perpendicular lines must intersect.