pl answer this.

Question

A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4). The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins? A. (–1, 2.5) B. (−13, 3) C. (0, 3) D. (1, 4)

Answer 1

If you plot the points in the coordinate plane and join the vertices you will see that the triangle formed is a right triangle, with the hypotenuse joining points (1,1) and (-3,4).

For a right triangle, the circumcenter will be the midpoint of the hypotenuse which will be the midpoint between (1,1) and (-3,4) = (-1,2.5) (A).