Yes, if points P and Q are contained in a plane, then the line segment connecting P and Q, denoted as PQ, is also entirely contained in that plane. This is a fundamental property of planes in Euclidean geometry, where any line segment formed by two points within the same plane must lie entirely within that plane. Therefore, the assertion is correct.
No. If the points are all in a straight line, then they could lie along the line of intersection of both planes. Mark three points on a piece of paper, in a straight line, and then fold the paper along that line so that the paper makes two intersecting planes. The three points on on each plane, but the plants are not the same.
There is exactly one plane that can be drawn parallel to plane P that passes through point A. Since parallel planes share the same orientation and direction, any plane that is parallel to plane P must maintain the same angle and distance from the points on plane P. Therefore, the plane through point A will be uniquely defined and parallel to plane P.
Yes, since a plane is a two dimensional surface that extends to infinity in both directions
a b c, t r w, z p t; any three variables
True.
true
apex it’s true on god
No. If the points are all in a straight line, then they could lie along the line of intersection of both planes. Mark three points on a piece of paper, in a straight line, and then fold the paper along that line so that the paper makes two intersecting planes. The three points on on each plane, but the plants are not the same.
True
There is exactly one plane that can be drawn parallel to plane P that passes through point A. Since parallel planes share the same orientation and direction, any plane that is parallel to plane P must maintain the same angle and distance from the points on plane P. Therefore, the plane through point A will be uniquely defined and parallel to plane P.
Yes, since a plane is a two dimensional surface that extends to infinity in both directions
a b c, t r w, z p t; any three variables
ab is a straight line in the plane p.
It depends on the requirements or specifications of the line. Does it go through a specific point or points, does it have a specific gradient, etc.
Definitely not. A plane in only two dimensional and if the point P does not necessarily have to be in those two dimenions. It can be but does not have to be.
False. In order for the line PQ to lie in plane B, then both P and Q must lie in plane B.