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How many solutions will a system of equations have if the graphs of the lines intersect?
If the lines are straight lines , then there is only one solution, which is the point of intersection of the two lines. It will have ( x,y) coordinates. However, if the lines are curved in any way , there may be more than two or more points of intersection.
What is the different of a perpendicular lines and intersecting lines?
The only difference between perpendicular lines and intersecting lines is that perpendicular lines create a right angle at the point of intersection.
Does a rectangle have four lines of symmetry?
Only two - parallel to and halfway between the sides. The diagonals are not lines of symmetry.
How many different lines are determined by two points?
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
What four sided shape only has one pair of parell lines?
A trapezoid
How many points of intersection do two skew lines have?
Any two lines can only have one point of intersection. Unless they are parallel, in which case they do not intersect at all. If they are the same line, then they intersect at an infinite number of points.
How many points do perpendicular lines share?
Perpendicular lines will only share one point: the point of intersection, where the two lines meet.
How do you sketch a set of lines that has two points of intersection?
They can be two arcs, like the outline of a crescent moon, or a contact lens. Two straight lines on a plane surface cannot have two points of intersection: there can only be 0, 1 or infinitely many.
What is the greatest number of intersection points possible with just 5 lines?
10. Each additional line can only intersect each of the previous lines once, so for two lines, there can be only 1 intersection, for three there can be up to 3 intersections (1+2), for four there can be up to 6 intersections (3+3), and for five there can be up to 10 (6+4). This trend continues as you increase the number of lines: 6 lines: 15 possible intersections (10+5) 7 lines: 21 possible intersections (15+6) 8 lines: 28 possible intersections (21+7) and so on...
How many solutions will a system of equations have if the graphs of the lines intersect?
If the lines are straight lines , then there is only one solution, which is the point of intersection of the two lines. It will have ( x,y) coordinates. However, if the lines are curved in any way , there may be more than two or more points of intersection.
What Quadrilaterals have exactly 2 right angles?
There is not simple quadrilateral that has only two angles = 90 degrees. There is however a complex (or self intersecting) quadrilateral that meets this condition.Draw two lines at right angles to each other. The connect the end points of two lines together, then connect the opposite ends points together. You now have a figure that looks like two triangles joined at the apex. There are only four lines, and the two angles at the intersection is 90 degrees.
Why do you only need to find two common points to name the intersection of two distinct planes?
Answer: the name of a line confers to only 2 points and the intersection of two planes is a line. (updated)
What is a quadrigon?
A Quadrigon is a polygon of 4 points (no 3 of which are collinear) and 4 lines spanned between the 4 points in such a way that each line connects only 2 of the 4 points and each point is the intersection of just 2 of the 4 lines. This figure is also sometimes called a Tetragon. See: http://chrisvantienhoven.nl/quadrigon-objects.html.
What is the different of a perpendicular lines and intersecting lines?
The only difference between perpendicular lines and intersecting lines is that perpendicular lines create a right angle at the point of intersection.
Do three lines intersects at only one point?
yes, if it happened that they all intersected at the same point. otherwise,three lines, assuming they are non-parallel or they do not coincide, would have at most two intersection points (one for each other line)
When two lines intersect do they intersect in different ponts?
No, two straight lines can intersect at only one point and that is their point of intersection.
Three lines can intersect in only two points?
This is true. If three straight lines are drawn, they can only intersect at two points. That is, each line will only intersect with another once.
