A projector includes an image generation section adapted to generate a composite image including a first image based on a first image signal, a second image based on a second image signal, and a boundary line indicating a position to be a boundary between the first image and the second image, a projection section adapted to display the composite image generated by the image generation section on a screen, a position detection section adapted to detect a position of a pointing body with respect to the screen, and a control section adapted to make the image generation section generate a composite image with a boundary line moved based on the position of the pointing body detected by the position detection section.