which connection do I use to transfer slideshow to tv?

I think we need more information.

What computer are you using?

What kind of inputs does your TV have?

Jerry

mettemoms wrote:

I have OS 10.8.5, mac book pro from mid 2012.

...

I would prefer to connect directly from my aperture to the tv screen.

Unfortunately you failed to answer the question about type of inputs to the TV(s).

Below is a short bit of information about video support and output for a mid-2012 MacBook Pro. (https://support.apple.com/kb/SP649) I assume it describes your machine.

Depending on what inputs are available on your TV(s) you need the the Mini Display Port adaptor which fits that input type. You will also need the proper cable to go from the adaptor to the TV. Then use the 'Displays' preference in System Preferences to set the proper resolution (if not done automatically) and choose the TV to which you want the video signal sent. Please understand that the slideshow may suffer from lack of resolution on the TV as many TVs do not provide the resolution that computer monitors do.

(Look to http://www.monoprice.com for resonably priced cables and adaptors.)

Jerry

but it is very timeconsuming becourse my photoes are in RAW.

That has no bearing on the size of a slide show. The images in the slideshow are the previews not the originals.