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Here is a copy of the picture and the statements given.

For 5 the reason would be SAS similarity criterion

Do you know what 6 & 7 would be?

once you have shown two triangles are similar then you know
"corresponding angles" are congruent.

finally, if corresponding angles of a transversal are congruent, the lines are parallel

Thanks

Could you also help me with reason 2 & 3? I got those incorrect also. Thanks

reason 2 is not substitution

Can you help with the Converse of the Side Splitter Theorem proof

Thanks.

You're welcome.