Question

Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure?
(–4, –4), (–4, –1), (–1, –4), (–1, –1)
(–2, –4), (–1, –1), (1, –1), (2, –4)
(1, 1), (2, 4), (5, 4), (4, 1)
(1, 4), (2, 1), (5, 1), (4, 4)

Answer 1

(1, 4), (2, 1), (5, 1), (4, 4)

Check slopes in that order:
- (1,4) → (2,1): slope = (1 − 4)/(2 − 1) = −3
- (2,1) → (5,1): slope = (1 − 1)/(5 − 2) = 0
- (5,1) → (4,4): slope = (4 − 1)/(4 − 5) = −3
- (4,4) → (1,4): slope = (4 − 4)/(1 − 4) = 0

Two sides have negative slopes (−3), so this set is correct.