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The shortest distance between 2 parallel lines is a perpendicular drawn between 2 parallel lines the diagram shows it clearly 1 parallel line ------------------------------------|-------------------------------------------------------------------- | | | the vertical line is the shortest distance | | ------------------------------------|------------------------------------------------------------------- 2nd parallel line
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Why is the distance between two lines only defined for parallel lines?
because they never intersect
How would you know if lines a perpendicular or parallel?
perpendicular lines intersect each other at 90 degrees whereas parallel lines never intersect each other and remain equal distance apart from each other. Obviously the way to test if two lines are parallel is to measure their distance from each other at at least two points (the farther apart the better) to confirm that they remain equal distance apart, but to test if lines are perpendicular, with a compass with the point at the point where the two lines intersect, draw an arc (or three parts of an arc) that intersects one of the lines in two places and the other line in one place. If the distances between the lines at the points where they are intersected by the arc are equal, the lines are perpendicular.
Does a parallel lines intersect?
No never because they remain equal distance from one another
If two lines are parallel do they have the same slope?
Yes but they remain equal distance apart from each other
What is the formula for a Trapezium?
Trapezium :Area(A) = 1/2 h(a + b)where a and b are the length of the parallel sidesh= distance between two parallel lines .Perimeter(P) = a + b + c + dwhere a,b,c and d are the length of the sides.
What line passes through 2 parallel lines?
Any line that is not parallel to the given lines. The transversal that contains the shortest distance between the two parallel lines, is perpendicular to them.
What is the distance between 2 parallel lines measured along a perpendicular to the 2 lines?
The shortest distance between two paralle lines is the length of the line that is perpendicular to both line and intersects both.
If the shortest distance between two points is a straight line what is the shortest distance between two straight lines?
The question is curiously vague. Do the two lines exist in the same plane? If they do, then they must intersect somewhere -- unless they are parallel. For non-parallel lines, the distance between the two lines at the point of intersection is zero. For parallel lines, the shortest distance between them is the length of the line segment that is perpendicular to both. For intersecting lines, there is an infinite number of distances between the infinite number of pairs of points on the lines. But for any pair of points -- one point on line A and another on line B -- the shortest distance between them will still be a straight line. Given two lines in 3D (space) there are four possibilities # the lines are collinear (they overlap) # the lines intersect at one point # the lines are parallel # the lines are skew (not parallel and not intersecting) The question of "shortest distance" is only interesting in the skew case. Let's say p0 and p1 are points on the lines L0 and L1, respectively. Also d0 and d1 are the direction vectors of L0 and L1, respectively. The shortest distance is (p0 - p1) * , in which * is dot product, and is the normalized cross product. The point on L0 that is nearest to L1 is p0 + d0(((p1 - p0) * k) / (d0 * k)), in which k is d1 x d0 x d1.
How do you find out if lines are parallel?
If the distance between the lines is constant then they are parallel.
Name that line lines that always have the same distance between them?
parallel lines - they are parallel when the distance between them remains constant
Does perpendicular lines have a constant distance between them?
No but parallel lines have a constant distance between them
How do you determine given two lines which share a plane the point on each line where the shortest distance between the two lines is equal to some quantity?
If the two lines are parallel, then the shortest distance between them is a single, fixed quantity. It is the distance between any point on one line along the perpendicular to the line.Now consider the situation where the two lines meet at a point X, at an angle 2y degrees. Suppose you wish to find points on the lines such that the shortest distance between them is 2d units. [The reason for using multiples of 2 is that it avoids fractions].The points are at a distance d*cos(y) from X, along each of the two lines.
What is the Shortest distance between multiple points?
Multiple straight lines.
What is the Minimum distance between parallel lines?
Can be as little as you like.
Does a trapezoid contain 2 right angles?
Since a trapezoid is a quadrilateral whose bases are parallel and not congruent, then one of its sides can be perpendicular to its bases (as the shortest distance between two parallel lines). Such a trapezoid is called a right trapezoid.
What no sides are parallel?
the lines which have equal distance between them throuhout the stretch
Why is the distance between two lines only defined for parallel lines?
because they never intersect
