Complete the explanation to determine whether each statement is always, sometimes, or never true. If quadrilateral PQRS is a rhombus and one diagonal has a slope of 4, then the other diagonal has a slope of 1/4 .
The diagonals of a rhombus are , so the product of the slopes of the diagonals is . Therefore, the diagonals of a rhombus have slopes of 4 and
1/4 , since 4 · 1/4 −1. The statement is true.

True I believe

Step-by-step explanation:

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.