First of all i would invest $10.000 to Ethereum because the ETH price went down already too much, remember in bull market the BTC price catched $18500 and the ETH was $1350. If you check the dips the ETH was $85 in few months ago but the BTC haven't lost that much and arrived to $3000 lines. So as we see that the Ethereum needs to raise and shall be raise, more than the bitcoin. Thats why i would invest in the ETH.