To add to what Yankee said, Article III of the Constitution clearly states that the confirmative power is a general power of Congress, not exclusive to the Senate (I made this mistake myself a few days ago in regards to the GM). While the Senate has the exclusive power to confirm the heads of executive departments, the post to which Tmth was appointed ("Emergency Election Administrator") is not part of the cabinet. Thus, the House was fully within its rights to confirm him.
That part of Section III of the constitution came from the vote on what should be federal powers vs what is left to regions. It's there because it's a federal power, not because the President can choose which house he prefers to have the hearing. Power of Congress could mean both legislative bodies.
Section IV speaks of The President appointing officers with the consent of the Senate.