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What are the names of three collinear points?

A. Points V, T, and Y are collinear.
B. Points T, V, and U are collinear.
C. Points Z, Y, and X are collinear.
D. Points Z, Y, and U are collinear.

What are the names of three collinear points A Points V T and Y are collinear B Points T V and U are collinear C Points Z Y and X are collinear D Points Z Y and class=

Respuesta :

A collinear point is a set of three points that lie on a straight line.

WIth this knowledge we can eliminate non-straight line points to find the three collinear points out of the 4 possible points you gave.

Looking at possible collinear point A, we see that point V and T are on a straight line but Y is not. A is NOT a possible collinear point.

Letter B IS a collinear point because T, V, and U are on a straight line.

Letter C is NOT a collinear point because although Z and Y are on a straight line, X is not on that line.

Letter D is also NOT a collinear point because again, although Z and Y are on a straight line, U is not on that line.


There is only one point which is a collinear point, letter B.

BladeRunner212

Points T, V, and U are collinear.

[tex]\boxed{\boxed{ \ The \ Answer \ is \ B \ }}[/tex]

Further explanation

Let us consider the definition of collinear, noncollinear, coplanar, and noncoplanar.  

Collinear

Collinear points represent points that lie on a straight line. Any two points are always collinear because we can connect them with a straight line. A collinear relationship can typically occur from three points or more, but they don’t have to be precisely.  

Noncollinear  

Noncollinear points represent the points that do not lie in a similar straight line.  

Coplanar

Coplanar points represent a group of points that lie on the same plane, i.e. a planar surface that extends without end in all directions. Any two or three points are always coplanar, but four or more points might or might not be coplanar.

Noncoplanar

Noncoplanar points represent a group of points that do not all lie in the same plane.  Once we promptly get to four or more points, they may be coplanar, or they may not be.

Given a line and a planar surface with points T, U, V, X, Y, and z. The logical conclusions that can be taken correctly based on the attached picture are as follows:  

  • At the line, points T, V, and U are collinear.  
  • On planar surface, points U, X, Y, and Z are coplanar.  
  • Points T, V, and, U are noncollinear with points X, Y, and Z.
  • Points U, X, Y, and, Z are noncollinear.
  • Points T and V are noncoplanar with points U, X, Y, and Z.
  • Point U represents the intersection between the line and the planar surface because the position of U is in the line and also on the plane. The line goes through the planar surface at point U.

Learn more  

  1. Which points are coplanar and noncollinear? brainly.com/question/4165000
  2. Match the term with the definition: line, line segment, ray, point, vertex brainly.com/question/1462887
  3. The similar problem https://brainly.com/question/5795008

Keywords: what are, the names, three collinear points, T, V, and U, noncollinear, coplanar, noncoplanar, the line, the planar surface, plane, intersection, goes through

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