The point that is the center of a circle that contains R, S, and T is option A. L.
What is a circumcenter?
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. In other words, it is the center of the circle that passes through all three vertices of the triangle. Each side of the triangle has a perpendicular bisector, and the circumcenter is the point of intersection of these bisectors. Properties of the circumcenter:
1. Equidistance: The circumcenter is equidistant from the three vertices of the triangle. This means that the distances from the circumcenter to each vertex are the same.
2. Perpendicular Bisectors: The circumcenter lies on the perpendicular bisectors of all three sides of the triangle.
3. Circle Center: The circumcenter is the center of the circumcircle, the circle that passes through all three vertices of the triangle.
4. Concyclic Points: The three vertices of the triangle and the circumcenter are concyclic, meaning they lie on the same circle.
Complete question:
Which point is the center of a circle that contains R, S, and T? A. L B. M C. N D. P