To solve this problem, we need to understand how the rotation affects a figure. First, suppose we have the following circle
If we rotate this circle 90° counterclockwise about the origin, we will get the following
Note that this circle changed its position in the plane, but, the shape remained the same. Since the area of the circle depends only on its shape, if the shape remained the same, the area of the circle also remained the same. This suggests that rotating a figure doesn't change its area. So in our case, after rotating the pentagon, the area should be the same. Then, the last option is not true.
Now, consider this triangle
if we rotate it 90° counterclockwise, we get
Even though the triangle looks like it is not the same, it actually is in shape, but the way it is positioned in the plane is different. This suggests that the shape of a figure remains the same after rotation. This means that wherever figure we rotate, the length of its sides and the measures of its angles remain the same.
So, this suggests that after rotating the pentagon, the resulting figure has the same lengths for its sides and the same measures for its angles as the initial pentagon. We say that whenever two figures have the same measures of its sides and the same measures of their angles they are congruent. So, in this case both pentagons are congruent, which tells us that the second-to-last option is not true.
NOte also that since the measures of the angles on the initial pentagon are equal to the measures of the angles of the pentagon after rotating it, then their sum should be also the same. So, this means that the second option is not true.
Having discarded 3 options, we keep the first statement as true.