The slopes of the two diagonals of the rhombus are: A. b - f/a - e and -a + e/b - f.
<h3>What is the Slope of a Line Segment?</h3>
To find the slope, the formula used is: change in y/change in x.
If two lines are perpendicular to each other, their slope values will be negative reciprocals.
<h3>What is the Diagonals of a Rhombus?</h3>
In a rhombus, the two diagonals in the rhombus bisects each other at angle 90 degrees. This means that the two diagonals of a rhombus are perpendicular to each other. Therefore, the slope of the diagonals of any rhombus would be negative reciprocals.
The slope of the diagonals of the rhombus given would therefore be negative reciprocals to each other.
Given two endpoints of one of the diagonals as:
(a, b) = (x1, y1)
(e, f) = (x2, y2)
Slope (m) = change in y / change in x = b - f/a - e
The negative reciprocal of b - f/a - e is -a + e/b - f.
Therefore, the slopes of the two diagonals are: A. b - f/a - e and -a + e/b - f.
Learn more about the slopes of diagonals of a rhombus on:
brainly.com/question/3050890
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