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Use AirPlay on your Mac
Show whatever’s on your iMac on the big screen using AirPlay Mirroring. To mirror the iMac screen on your TV screen or to use the HDTV as a second display, connect your HDTV to Apple TV and make sure the Apple TV is on the same Wi-Fi network as your iMac. You can also play web videos directly on your HDTV without showing what’s on your desktop—handy when you want to play a movie but keep your work private.
, then choose an option under “Match Desktop Size To.”Apple TV is sold separately at Use an external display with your iMac.