You show a chapter you are interested by acting interested in what they have to say. Respond with interest. When they ask you a question, answer it and ask a follow up question of your own.
Tell them "Thanks for inviting me, I have had such a nice time. I really enjoyed talking with you. I liked the skit. etc"
You show a sorority you are interested just like you show a friend or a date, by reciprocating the level of interest they are showing you and sounding genuine in your responses.
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