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Counterexample for two lines in a plane always intersect in exactly one point?
Wiki User
∙ 13y ago
Line #1 ==> Y = x
Line #2 ==> Y = x + 1
These two lines are parallel, have no points in common, and never intersect. (3 ways to say the same thing)
Wiki User
∙ 13y ago
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Do two lines always intersect at one point?
If two different lines intersect, they will always intersect at one point.
Do parallel lines ever intersect?
No, parallel lines cannot ever intersect. The have identical slopes. Therefore, they will always remain parallel.
Can two lines be parellel perpendicular and intersecting at the same time?
No. If the lines are parallel they will never meet or intersect at any point. If the lines are perpendicular they do intersect, but perpendicular lines are a special case of intersecting lines. Perpendicular lines are exactly 90 degrees from each other. Intersecting lines do not haveto be perpendicular... but perpendicular lines are always intersecting.
What is Defined by distinct lines which intersect at right angles and at exactly one point.?
They are said to be perpendicular lines.
What is formed when two lines intersect?
Perpendicular lines are a possibility. This will only happen if the intersecting lines are exactly 90 degrees from each other.
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
Do two lines always intersect at one point?
If two different lines intersect, they will always intersect at one point.
Do skew lines always intersect?
Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.
Do perpendicular lines always sometimes or never intersect?
Perpendicular lines always intersect and make 90 degree angles. Parallel lines never intersect with each other.
Do intersecting lines always intersect at right angles?
No. Lines can intersect at any possible angle.
Will the graph of a system of parallel lines intersect at exactly 1 point?
Parallel lines don't intersect, no matter how many of them there are.
Will the perpendicular bisectors of a right triangle always intersect?
yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)
Do perpendicular lines always intersect?
Yes
Are Lines that do not intersect are always skew lines?
They may also be parallel lines.
What is a counterexample of All rectangles have two lines of symmetry?
Since the statement does not say that they have exactly two lines of symmetry, I do not believe that there is a counter example.
