5. On a map of Chicago, 1 cm represents 100 m . Select all statements that express the same scale. a. 5 cm on the map represents 50 m in Chicago. b. 1 mm on the map represents 10 m in Chicago. c. 1 km in Chicago is represented by 10 cm the map. d. 100 cm in Chicago is represented by 1 m on the map.

To determine which statements express the same scale, we need to convert each statement to the same unit of measurement and then compare them to the given scale of 1 cm = 100 m. Given scale: 1 cm represents 100 m a. 5 cm on the map represents 50 m in Chicago. - 5 cm * 100 m/cm = 500 m - This statement represents a scale of 1 cm = 100 m, which is the same as the given scale. b. 1 mm on the map represents 10 m in Chicago. - 1 mm = 0.1 cm - 0.1 cm * 100 m/cm = 10 m - This statement represents a scale of 1 cm = 1000 m, which is not the same as the given scale. c. 1 km in Chicago is represented by 10 cm on the map. - 1 km = 1000 m - 1000 m / 100 m/cm = 10 cm - This statement represents a scale of 1 cm = 100 m, which is the same as the given scale. d. 100 cm in Chicago is represented by 1 m on the map. - 100 cm * 100 m/cm = 10000 m - 10000 m / 1 m = 10000 cm - This statement represents a scale of 1 cm = 0.0001 m, which is not the same as the given scale. Therefore, the statements that express the same scale as the given scale are: a. 5 cm on the map represents 50 m in Chicago. c. 1 km in Chicago is represented by 10 cm on the map.