Question

circles (concyclic, 3 pts given and do they form equilateral, right angled triangle)

Answer 1

To determine if three points are concyclic (lie on the same circle), we can use the concept of the circumcenter. The circumcenter is the center of the circle that passes through all three points.
If three points form an equilateral triangle, they are always concyclic. An equilateral triangle has all three sides of equal length and all three angles equal to 60 degrees.
If three points form a right-angled triangle, they may or may not be concyclic. A right-angled triangle has one angle measuring 90 degrees. However, for the three points to be concyclic, the right angle must be subtended by the diameter of the circle.
To check if the given three points form an equilateral triangle or a right-angled triangle, you need to provide the coordinates or describe the points in more detail.