The endpoints of four segments are given below. Which segment has the greatest length?

(1 point)
Responses

and
Image with alt text: Upper A left parenthesis 2 comma 2 right parenthesis and Image with alt text: B left-parenthesis 2 comma negative 4 right-parenthesis

and
Image with alt text: D left-parenthesis negative 3 comma negative 1 right-parenthesis and Image with alt text: E left-parenthesis 2 comma negative 1 right-parenthesis

and
Image with alt text: M left-parenthesis negative 1 comma 4 right-parenthesis and Image with alt text: N left-parenthesis negative 1 comma negative 2 right-parenthesis

and
Image with alt text: P left-parenthesis negative 5 comma negative 3 right-parenthesis and Image with alt text: Q left-parenthesis 2 comma negative 3 right-parenthesis

1 answer

The segment with the greatest length is PQ, as the distance between the points (-5, -3) and (2, -3) is greater than the distances between the other pairs of points.