Answer:
Let's look at answer options,
A, B, and C.
Answer Option, A.
- In answer option A, we can see that line AB(first triangle) does not align with line FE(second triangle). If you look at the second triangle in an upwards perspective, you can see that the lines are not corresponding to the first triangle, therefore we can disqualify this answer.
Answer Option, B.
In answer option B, if you look at the comparison of the two numerators, you can see that they're only comparing two sides of the same triangle, but we were supposed to compare two sides of both the triangles. So we can immediately exclude this option.
Answer Option, C.
In answer option C, (looking at the comparison of the two numerators for both triangles), we can see that line BC is not FD! Line BC is the base of this right triangle, and if we look at the other triangle, line FD is the slanted line of this triangle(hypotenuse). The base and hypotenuse are NOT corresponding, so we should not compare these two numerators. We can eliminate this answer option.
Moving on to,
Answer Option, D.
In answer option D, (looking at the comparison of the two numerators for both triangles), we can see that line AC starts from the tip of the triangle(point A) faced upwards and then all the way to the right corner, (point C). If we look at DF, we can also see that it starts from the top of the triangle (point D) faced upwards and then all the way to the bottom right corner, (Point F). These two lines align with each other, and so do their denominators.
So therefore option D is correct.
