Answer:
B) 8.5, 13.5
Explanation:
To find the possible midpoints of line segment DE, we need to first find the coordinates of point E. The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment.
To find the coordinates of point E, we can use the given information that D has a coordinate of 11 and that the length of line segment DE is 5. Since the length of line segment DE is 5, the coordinate of E must be either 6 (if E is to the right of D) or -4 (if E is to the left of D). Therefore, the possible coordinates of point E are (6, 11) or (-4, 11).
Next, we can find the coordinates of the midpoint of line segment DE by taking the average of the coordinates of points D and E. If the coordinates of E are (6, 11), then the midpoint of DE is (6 + 11)/2 = 8.5, 13.5. If the coordinates of E are (-4, 11), then the midpoint of DE is (-4 + 11)/2 = 3.5, 11.
Therefore, the possible midpoints of DE are (8.5, 13.5), which correspond to answer B, respectively.