- What is a real life example of two planes and their intersection?
- What defines a plane?
- Is it possible to have a real life infinite plane?
- What are the ways of naming a plane?
- Are points not on the same plane?
- How many planes contain the same three collinear points?
- How many planes contain two points?
- What determines a line?
- What is a distinct point?
- What type of word is distinct?
What is a real life example of two planes and their intersection?
A real-world example of two planes intersecting is constructing a wall or placing a fence into the ground (so that its bottom is underground “penetrating” the level ground), and therefore the vertical plane (the wall or fence) intersects the horizontal plane, (the level ground).
What defines a plane?
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
Is it possible to have a real life infinite plane?
It is not possible to have a real-life object that is an infinite plane because all real-life objects have boundaries.
What are the ways of naming a plane?
A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .
Are points not on the same plane?
Lines and line segments that lie on the same plane (and consequently space) are considered coplanar lines. coplanar: when points or lines lie on the same plane, they are considered coplanar. noncoplanar: when points or lines do not lie on the same plane, they are considered noncoplanar.
How many planes contain the same three collinear points?
Through any three points, there is exactly one plane. SOLUTION: If the points were non-collinear, there would be exactly one plane by Postulate 2.2 shown by Figure 1. If the points were collinear, there would be infinitely many planes.
How many planes contain two points?
If you have four points and they are not on the same plane (not coplanar), then they define a space. So the simplest Platonic solid is a tetrahedron (a four-sided die), which has four corners. So how many planes contain two given points? An infinite number.
What determines a line?
In geometry, a line can be defined as a straight one- dimensional figure that has no thickness and extends endlessly in both directions. It is often described as the shortest distance between any two points. Here, P and Q are points on the line. Fun Facts. A line segment is only a part of a line.
What is a distinct point?
Two distinct points on a line define a line segment (the line segment has a length, the distance between the two points). Similarly, one distinct point on a line defines two rays (intuitively, the ray starting from the point going left along the line, and the ray starting from the point going right along the line).
What type of word is distinct?
distinct adjective (NOTICEABLE)