It is this property which makes the plane “flat.” Two distinct lines intersect in at most one point; two distinct planes intersect in at most one line. If two coplanar lines do not intersect, they are parallel. Two lines which are not coplanar cannot intersect and are called “skew” lines.
How many planes can 2 distinct lines have in common?
If two lines intersect, they lie in exactly one plane . b. Two parallel lines determine a unique plane.
What can two distinct lines have in common?
Two distinct lines have exactly one point in common . Not all the lines of the geometry pass through the same point.
How many planes can contain two lines?
Theorem 3: If two lines intersect, then exactly one plane contains both lines.
What are two distinct lines?
Two lines are said to be distinct, if they intersect at exactly one point . When two or more lines cross each other in a plane , where the lines meet each other ,they make an intersecting point. These lines share a common point.
How many planes can be made to pass through three distinct collinear points?
As if a plane intersects two parallel planes, then the lines of intersection are parallel. Therefore, an infinite number of planes can be made to pass through three collinear points.
How many lines is three distinct points?
If the three points are collinear then only one line is possible and if the three points are not collinear then three lines are possible.
How many planes contain each line and each point?
Through any two points there is exactly one line . If two distinct lines intersect, then they intersect in exactly one point. If two distinct planes intersect, then they intersect in exactly one line. Through any three noncollinear points there is exactly one plane.
How many planes can contain a line?
Points on a Line lie in a plane postulate – If two points lie on a plane, then the entire line containing those points lie on the plane. through those two points will lie on the plane. Three collinear points would indicate a single line. There are an infinite number of planes that could go through a single line.
Can two planes contain the same line?
Explanation: Lines lying in different planes can intersect , providing the planes are non parallel. In the plot below both lines are in different planes, but they do intersect.
How many lines pass two distinct points?
So, only one line can pass through two distinct points.
How many least number of distinct points determine a unique plane?
While if we have three distinct non collinear points, only a single unique plane can be drawn passing through those three points. Therefore, a minimum of three distinct non collinear points are required to get a unique plane.
How many lines is 4 distinct points?
Answer is SIX . Step-by-step explanation: considering no three lines are in same line. It will make a rectangle or square or quadrilateral.
How many lines are determined by two points?
Select the postulate that states a line is determined by two points. Postulate 2: Through any two different points, exactly one line exists.
How many lines is 5 distinct points?
Thus, there are only 5 distinct points on any two lines , so no two lines can contain all the points of the geometry.
