There is not enough information to answer the question. For example, it is not even known if E, F and G are vertices of a triangle, three points on the same straight line, three points on the circumference of a circle or some exotic shape.
Two points do not provide enough information to define a circle: a minimum of three points is required to uniquely define a circle unless one of the points happens to be the centre and the other is on the circle. In that case, however, it is necessary to know which is which.
It is typically named using one point, which is the center. Sometimes, a circle could be referred to "a circle with diameter AB" in which two points are named. However, you need three non-collinear points to uniquely determine a circle.
Points on the same line are called collinear points.
yes
A plane. A circle can also pass through three non-co-linear points.
Yes. In fact, given any three non-collinear points, there is one (and only one) circle that passes through all three points.
Is false
This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.
Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)
Yes, if they are all in the same plane.
Keep compass the same size. Draw circle one. Draw circle two with the center on the edge of circle one. Draw circle three centered on one of the points of intersection between circle one and two. Now the area in between the all three circles where the points of circles intersect should join to make an equalateral triangle. Connect with your straight edge.
Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.
The three parts are:the interior of the circle, the points on the circle (points on its circumference) the outside of the circle.
yes, any three non collinear points will make a circle, however, four or more will not
Infinitely many planes.
Through any three points NOT on the same straight line. If they are all on the same line then that line can act as an axis of rotation for an infinite number of planes containing the three points.