Answer:
The most important feature to notice in this question is that in both shapes, although they look almost symmetrical, their legs are of different length; hence, each vertex has a unique position.
Let's choose to begin with the triangle this time. Its marked vertex is on the shorter leg. In options A and B the marked vertex is found on the longer leg; thus, they are eliminated.
Options C and D are good fit, while in option E the marked vertex is parallel to the original one. E is also eliminated. Only options C and D remains.
On the corner-like shape the marked vertex is found on the longer leg. This is true only in shape C; thus it can be marked as the correct answer, and we can move to the next question.
You can examine and see of course that there is a match between the marked vertices, yet your goal is to find the correct answer as fast as you can and move forward, since time is limited.