Graph and label the polygon: \( (3,5),(7,5),(3,-5),(7,-5) \)

To graph and label the polygon with the given points, we can plot the points on a coordinate plane and then connect them to form the polygon. Given points: \( (3,5),(7,5),(3,-5),(7,-5) \) Plotting the points on the coordinate plane: - Point \( (3,5) \) is plotted at the coordinates (3,5). - Point \( (7,5) \) is plotted at the coordinates (7,5). - Point \( (3,-5) \) is plotted at the coordinates (3,-5). - Point \( (7,-5) \) is plotted at the coordinates (7,-5). Connecting the points to form the polygon: - From point \( (3,5) \) to point \( (7,5) \), we draw a horizontal line. - From point \( (7,5) \) to point \( (7,-5) \), we draw a vertical line. - From point \( (7,-5) \) to point \( (3,-5) \), we draw a horizontal line. - From point \( (3,-5) \) to point \( (3,5) \), we draw a vertical line. The resulting polygon is a square with side length 4 units. Labeling the polygon: - The square has four equal sides, each with a length of 4 units. - The square has four right angles. - The square has two pairs of opposite sides that are parallel to each other. Therefore, the graphed polygon is a square with side length 4 units.