Final answer:
The vertices of triangle PQR are P(-2, 5), Q(-1), and R(-6, -8).
Step-by-step explanation:
To name the vertices of triangle PQR, we are given the coordinates of points Q and R, which are (-1) and (-6, -8) respectively. Point P remains unidentified, but we know it's one of the vertices of the triangle. The points in a triangle are typically labeled in the order they are listed. Here, P is the first vertex, followed by Q and R. Point P's coordinates are provided as (-2, 5). Therefore, the vertices of triangle PQR are P(-2, 5), Q(-1), and R(-6, -8).
By definition, a triangle consists of three vertices and three sides, and each vertex represents a distinct point in the plane. In this case, the vertices P, Q, and R are represented by their respective coordinates (-2, 5), (-1), and (-6, -8). These points can be plotted on a Cartesian plane to visualize the triangle's shape and orientation. The designation of P, Q, and R as vertices establishes the order of points that delineate the boundaries of the triangle, following the standard naming convention.
The coordinates (-2, 5), (-1), and (-6, -8) form the set of points defining the triangle PQR. Each point contributes to determining the shape and size of the triangle, fulfilling the requirements to identify and name the vertices of the given triangle as P(-2, 5), Q(-1), and R(-6, -8).