Question

Select the graph that best represents the statement.

There is exactly one plane through any three noncollinear points.

Answer 1

Its the red plane. Noncolinear implies that they are not on the same line. Therefore if must be A.

Hope this helps!

Answer 2

The required graph is shown in figure 1.

Explanation:

Consider the provided information.

we need to select the graph that has exactly one plane through any three noncollinear points.

Non collinear points are those points which are not lying on the same line.

Consider the figure 1.

The plane M has 3 points and the points are not lying on the same line.

Hence, the plane M has three noncollinear points.

Now consider the figure 2.

All the points on figure 2 lying on the same line, thus it is not the required graph.