Answer:
“A few years ago, she offered to give me the piano, for my thirtieth birthday.”
“And after I played them both a few times, I realized they were two halves of the same song.”
Explanation:
The first option “‘Of course you can be prodigy, too,’ my mother told me when I was nine” best serves as evidence for the thesis on encouragement and motivation.
The second option “And after seeing my mother's disappointed face once again, something inside of me began to die” implies negative emotions, no hint of reconciliation at all.
The third option “‘You want me to be someone that I'm not!’ I sobbed. ‘I'll never be the kind of daughter you want me to be!’” implies anger, frustration, and perhaps resentment felt by the girl. Absolutely no reconciliation here.
The last two options are correct.
“A few years ago, she offered to give me the piano, for my thirtieth birthday.” When there is tension between people or some unresolved disagreement over an issue, a gift is often viewed as an attempt at reconciliation, and that's exactly what it is in this story.
“And after I played them both a few times, I realized they were two halves of the same song.” When the daughter plays a piece from her youth, she realizes that it is actually two pieces, and they are two parts to the same piece of music. (The song on one side of the page is titled “Pleading Child”, while the one on the other side is titled “Perfectly Contented.”) As two halves of one piece are, indeed, inseparable, there is definitely hope of reconciliation in this quotation.