Sharing a Catriona Shearer geometry puzzle with my son part 17

We continued our project looking at Catriona Shearer’s puzzles today:

My son had a really nice solution, which had a hidden assumption in it. He recognized that he’d assumed something was true and had a tough time showing that it was true. He got there eventually, though. Math can be like that sometimes!

Here’s his work and the discussion that followed:

Next we looked at the twitter thread to find a solution he liked. He chose this one from Jane Miller:

Here’s his explanation of Miller’s solution and why he liked it: