A plane is a flat surface that continues forever (or, in mathematical terms, infinitely) in every direction.

A plane is a perfectly flat surface extending in all directions. A plane has two dimensions: length and width. All planes are flat surfaces. If a surface is not flat, it is called a curved surface.

As we know that a plane is made of the group of lines and a line is made up of a group of points. So, plane is made up of a set of points extending infinitely in all directions on same flat surface. Hence, the answer is plane.

plane. A flat surface that extends without end in all directions.

two

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. Figure 2 shows what two planes through collinear points would look like.

The lines are: AB, BC and AC ; 3 lines only. So in fact we can draw 3 lines and not 6 and that’s because in this problem the order of the points A, B and C is not important.

But! There are four culprit points, which won’t form a triangle, as they are collinear. We’ve lost 4C3 triangles, which would have been formed, had these 4 been non-collinear. Therefore, the total number of triangles is 10C3 – 4C3.

At least 84. In general the number of triangles which can be drawn from N points is: (N)(N-1)(N-2)/6 where N>2 and the points are the vertices of the triangles. Thus when N = 9, the number of such triangles is 84.

To form a triangle, we need in total three non-collinear points as they create three sides of a triangle. There are four points and we have to choose three out of them.

Answer. Answer: There are 10 triangles that can be obtained from 5 points in a plane.

For each set of four endpoints, there are four triangle configurations. Thus there are triangles formed. 5 diagonal endpoints There are 280 such triangles in the figure at left.

equilateral triangle