Abcd is a square. given only the choices below, which properties would you use to prove aeb ≅ dec by sas? the diagonals are ⊥ to each other. opposite sides are | |. the diagonals bisect each other. all sides are congruent.

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.