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Identifying the connector on your Device
Apple has a very diverse range of products and adapters being used by these devices. The easiest way to start finding the right adapter for your device is simply to explore it. Ports for connectivity are usually located on the sides of the device or the bottom edge of the device.
Thunderbolt v3 or v4 or v5 or USB-C

Used on many recent laptops and mobile phones. For more information on the video output capabilities of certain USB-C connectors, see this article.
Mini DisplayPort

Used on older MacBook devices. Also present on older Microsoft Surface Pro devices.
Thunderbolt v1 or v2 (same connector)

Used on some MacBook devices.
Lightning

Used on some older iPhones and iPads. (Note the difference from USB-C. Lightning does not have any circuitry in the middle of the connector.)
Identifying the connector needed by the A/V system
HDMI is the preferred connector for A/V systems. Please see this article for information on spaces equipped with HDMI.
USB-C connectors are starting to replace VGA in some spaces. These utilize the USB-C DisplayPort Alt mode and require a compatible device. If your device is compatible, an adapter is NOT required.
If the system is not equipped with HDMI or USB-C, you must use a VGA connector. If audio is desired with a VGA connection, you must also connect the 3.5mm audio cable to your headphone jack.
Which adapter to use?