Given the following question:
We will use the process of elimination to find the answer...
It isn't option A because each triangle has different lengths; base, hypotenuse, and height are all different which means the area is not the same.
It isn't option B because one triangle is smaller than the other, they are similar not equal in size.
Option C is the correct answer because the two triangles are similar. You can prove these by looking at the given angles which are all the same. Which means the two triangles are congruent.
Option D is also the answer because the act of dilation is enlarging the triangle, so if you enlarge the first triangle, to fit the second triangle they will be congruent, the angles will stay the same.
Options C, and D are the answer.