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If two lines intersect then they lie in one plane. Is this true always sometimes or never?
always. if two lines intersect, then exactly one plane contains the lines.
Can two skew lines intersect in exactly one point?
always
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
Does perpendicular lines intersect in exactly two points?
No, just one point.
Which statement is trueJax drew a line through point A and point B. Chris also drew a line through the two points.?
The two lines are identical.
Can two lines intersect in exactly one line?
always
If two lines intersect then they lie in one plane. Is this true always sometimes or never?
always. if two lines intersect, then exactly one plane contains the lines.
Can two skew lines intersect in exactly one point?
always
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
Does perpendicular lines intersect in exactly two points?
No, just one point.
Which statement is trueJax drew a line through point A and point B. Chris also drew a line through the two points.?
The two lines are identical.
Two lines only intersect at exactly one point?
Two straight lines, whether they're in the same or different planes, must intersect at either one point or else at no points.
Is any two lines lie in exactly one plane?
Two lines can lie in one plane. For example, parallel lines are lines that intersect and lie in the same plane.
Do two lines always intersect at one point?
If two different lines intersect, they will always intersect at one point.
Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
If two planes intersect do they intersect in exactly one plane?
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
Why cant a system of linear equations cannot have exactly two solutions?
Because linear lines can't intersect in two seperate places. They either intersect at one specific coordinate, or the lines are on top of each other and they intersect at every point.
