Final answer:
The question asks to determine the type of quadrilateral formed by the given vertices by plotting them on a coordinate system and observing its properties.
Step-by-step explanation:
The given points are (0,0), (-2,3), (7,0), and (5,3). To determine the type of quadrilateral formed by these points, we can calculate the slopes of the lines connecting them.
The slope of the line connecting (0,0) and (-2,3) is (3-0) / (-2-0) = 3/2.
The slope of the line connecting (-2,3) and (7,0) is (0-3) / (7-(-2)) = -3/9 = -1/3.
The slope of the line connecting (7,0) and (5,3) is (3-0) / (5-7) = -3/2.
The slope of the line connecting (5,3) and (0,0) is (0-3) / (0-5) = 3/5.
Since none of the slopes are equal, the quadrilateral formed by these points is a non-parallel quadrilateral.
The question involves finding the best selection for the quadrilateral with given vertices. To answer it, we need to consider the coordinates of the points and visualize them on a coordinate system.
The vertices given are (0,0), (-2,3), (7,0), and (5,3). By plotting these points and connecting them in order, we can form a quadrilateral and determine its properties, such as type and dimensions. The lengths of the sides and the slopes of the diagonals can be helpful in identifying the specific type of quadrilateral it represents.