McGruff Building Company is in charge of building a new hotel. The owner of the hotel tells the company that the ratio of one person rooms to two person rooms in the hotel should be 2:3. If the company has built 36 two person rooms, how many one person rooms must they build to have the correct ratio of rooms?

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c