Ontario Mathematics Proficiency Practice Test

To find the vertices of a triangle given three points, the correct approach is to recognize that the points themselves represent the vertices of the triangle. Each of the three points corresponds to one vertex of the triangle, and together they define the shape and size of the triangle in a two-dimensional plane.

When presented with three distinct points, you can visualize or plot them on a coordinate system, and the resulting figure will be the triangle formed by connecting these points with straight lines. Hence, the identification of the points as the vertices is direct and straightforward.

The other methods mentioned, such as finding midpoints, using the distance formula, or calculating angles, serve different purposes in geometry. For instance, midpoints may be useful in bisecting segments, the distance formula helps determine lengths of sides, and angles relate more to properties of triangles rather than identifying their vertices directly.