The two pieces of evidence that support the idea that Mr. Matheson showed patience and clear thinking during his first hiking trip are:
A. Mr. Matheson's realizing that getting stressed will not help them and his decision to approach the campfire.
B. Mr. Matheson's deciding that he and Uncle Joe should walk further and then spotting a campfire.
These options demonstrate his ability to remain calm under pressure and make a thoughtful decision to continue moving forward rather than panicking, ultimately leading to their safe return.