Table of Contents
- 1 Does a plane have line length?
- 2 Which statement is true in naming a plane?
- 3 How many planes contain the given line and point?
- 4 Does a plane have length and width?
- 5 How many planes contain both lines?
- 6 Do two planes contain the same point?
- 7 How many planes are shown in the figure?
- 8 Which is best describes the dimensions of a plane?
- 9 Can a plane intersect in exactly one point?
- 10 How are three points in a plane collinear?
Does a plane have line length?
The plane has two dimensions: length and width. But since the plane is infinitely large, the length and width cannot be measured. Just as a line is defined by two points, a plane is defined by three points.
Which statement is true in 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 .
Does a plane containing two points of a line contain the entire line?
A plane containing two points of a line contains the entire line because the line cannot enter into a different plane.
How many planes contain the given line and point?
For example if the three points are A, B and C in your diagram then there are infinitely many planes that contain the points. I have illustrated two such planes in pink in the diagrams below. The final point is that if the three points do not lie on a line then there is exactly one plane that contains the points.
Does a plane have length and width?
Definition of a Plane It is also known as a two-dimensional surface. A plane has zero thickness, zero curvature, infinite width, and infinite length.
Is it possible for one ray to be shorter in length than another?
It is not possible. Each ray has an endpoint, but each continues on in one direction without end. They are the same length because they are both infinitely long.
How many planes contain both lines?
one plane
If two lines intersect, then exactly one plane contains both lines (Theorem 3).
Do two planes contain the same point?
Two planes contain the same point. A line and a plane intersect at exactly one point. The measure of an angle is greater than the measure of its complement. intersect at one point.
How many planes contain a line?
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 are shown in the figure?
14. How many planes are labeled in the figure? SOLUTION: There are two planes labeled in the figure, namely Q and R.
Which is best describes the dimensions of a plane?
Ray KM is an angle bisector of NKL. Ray KM is an angle bisector of NKL. Which best describes the dimensions of a plane? A plane has zero dimensions because it represents a location on the coordinate plane. A plane has one dimension because it is made up of an infinite number of points.
Which is the correct postulate for a plane?
Postulate 3: Through any three points that are not one line, exactly one plane exists. Postulate 4: If two points lie in a plane, the line containing them lies in that plane.
Can a plane intersect in exactly one point?
Two planes can intersect in exactly one point. If two points of a ray lie in a plane, then all of the ray lies in the plane. A plane can have only two points. Three points are collinear. Two planes intersect in exactly one point.
How are three points in a plane collinear?
If two points of a ray lie in a plane, then all of the ray lies in the plane. A plane can have only two points. Three points are collinear. Two planes intersect in exactly one point. Select the postulate that proves this fact. If G and H are different points in plane R, then a third point exists in R not on .