It is given that ABCD and AFGH are parallelograms. Which of the following statements is false?

The second one would be correct, or B

Step-by-step explanation:

The second answer is the only one that had two different sections being compared, all others are the same 2 sections. Assuming it is a parallelogram, and the 2 shapes are the same, B is the only statement that could be false.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.