1. The problem is to draw a rectangle on the graph with vertices at the points (3,2), (1,2), (1,5), and (3,5). 2. These points represent the corners of a rectangle because: - The points (3,2) and (1,2) lie on the same horizontal line (y=2). - The points (1,5) and (3,5) lie on the same horizontal line (y=5). - The points (1,2) and (1,5) lie on the same vertical line (x=1). - The points (3,2) and (3,5) lie on the same vertical line (x=3). 3. To represent this rectangle on a graph, we can plot the four points and connect them with line segments: - Connect (3,2) to (1,2) - Connect (1,2) to (1,5) - Connect (1,5) to (3,5) - Connect (3,5) to (3,2) 4. The rectangle's sides are parallel to the axes, making it easy to visualize. Final answer: The rectangle with vertices (3,2), (1,2), (1,5), and (3,5) is drawn by connecting these points in order to form a closed shape.