Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
no
Any two vertices of a triangle are connected by a side.
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
Of course. The vertices of a triangle, and any three vertices of any other polygon, are non-collinear. In the case of a triangle and a quadrilateral, if you had three collinear vertices, then you couldn't have the polygon.
No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
There may be variants, but in the version of the game I am familiar with the triangle "belongs" to the first person to speak after the question "Whose triangle is it?" is asked. A variant with which I'm familiar is one where the first person you look at, after naming the third point, is the person who "owns" it.
Any one of the three angle points where there are small triangles seeing that a triangle is the strongest shape currently know to man. Considering this is an equilateral triangle.
No, it is not true. Just think of the three vertices of a triangle.
The three elements of the fire triangle that must be present are Heat, Oxygen, and Fuel. This has recently been changed though from the fire triangle to the fire tetrahedron. This includes Heat, Oxygen, and Fuel as well. But, it also contains a fourth, chemical reaction.
Yes, a triangle is a "flat" figure. A triangle is three distinct points connected by line segments, and it takes three points to determine a plane. That translates to the fact that a triangle is a planar figure; it lies on a plane. An easy way to see this is to take a string and tie the ends to any two points (like two table legs). Then pick up the string in the middle. The two ends and your fingers represent the three points of the triangle. No matter where you move your hand, the triangle will remain a flat figure. Of course, if you draw a triangle on a sphere or other curved surface, the sides will be arcs, not straight lines.