When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
False. In order for the line PQ to lie in plane B, then both P and Q must lie in plane B.
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
69
Points or lines that lie on the same plane are coplanar.
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
Yes.
A straight line MUST lie in a plane. A curved line may or may not.
8
False. In order for the line PQ to lie in plane B, then both P and Q must lie in plane B.
they lie in the same plane
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
69
True.
Points or lines that lie on the same plane are coplanar.
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.