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Attached diagram:

that's the basic outline. You can either do a 2 column proof or paragraph proof of that

@jim_thompson5910 Thank you for your help. :)

Everything else looks great. Nice work

sure, go ahead

For the attached image, would this proof (based off the proof you gave me earlier) be correct?
AN || RI (Given.)
angle ATN = angle RTI (Common angle.)
angle TAN = angle TRI (Corresponding angle.)
triangle TAN ~ triangle TRI (AA Similarity theorem.)

everything looks good

@jim_thompson5910 Thank you for all the help. I appreciate it. :)

you're welcome