Respuesta :
The endpoints of the sides of the quadrilateral are; (1, 4), (2, 1), (5, 1), (4, 4)
How to calculate the slope of sides of a quadrilateral?
To get the endpoints of the quadrilateral that has 2 sides with negative slope, we will use the formula for slope;
m = (y2 - y1)/(x2 - x1)
Option A; Coordinates are (–4, –4), (–4, –1), (–1, –4), (–1, –1). Slopes are;
m1 = (-1 + 4)/(-4 + 4) = undefined
m2 = (-4 + 1)/(-1 + 4) = -1
m3 = (-1 + 4)/(-1 + 1) = undefined
m4 = (-4 + 1)/(-4 + 1) = 1
No two slopes are negative and this is not correct.
Option B; Coordinates are (–2, –4), (–1, –1), (1, –1), (2, –4). Slopes are;
m1 = (-1 + 4)/(-1 + 2) = 3
m2 = (-1 + 1)/(1 + 1) = 0
m3 = (-4 + 1)/(2 - 1) = -3
m4 = (-4 + 4)/(-2 - 2) = 0
No two slopes are negative and this is not correct.
Option C; Coordinates are (1, 1), (2, 4), (5, 4), (4, 1). Slopes are;
m1 = (4 - 1)/(2 - 1) = 3
m2 = (4 - 4)/(5 - 2) = 0
m3 = (1 - 4)/(4 - 5) = 3
m4 = (1 - 1)/(1 - 4) = 0
No two slopes are negative and this is not correct.
Option D; Coordinates are (1, 4), (2, 1), (5, 1), (4, 4). Slopes are;
m1 = (1 - 4)/(2 - 1) = -3
m2 = (1 - 1)/(5 - 2) = -0
m3 = (4 - 1)/(4 - 5) = -3
m4 = (4 - 4)/(1 - 4) = -0
Two slopes are negative and this is correct.
Read more about Slope of Quadrilateral Sides at; https://brainly.com/question/2823280
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