Final answer:
The coordinates of the endpoint B are (-1,5).
Step-by-step explanation:
To find the endpoint of segment AB, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (C) of a line segment with endpoints (A) and (B) can be found by averaging the x-coordinates and y-coordinates of (A) and (B). In this case, C lies at (1,5), which is the midpoint of segment AB. So, we can use this information to find the coordinates of the other endpoint (B) by doubling the x-coordinate and y-coordinate of C and subtracting the x-coordinate and y-coordinate of A.
Using the midpoint formula:
x-coordinate of B = 2 * (x-coordinate of C) - (x-coordinate of A) = 2 * 1 - 3 = -1
y-coordinate of B = 2 * (y-coordinate of C) - (y-coordinate of A) = 2 * 5 - 5 = 5
Therefore, the coordinates of the endpoint B are (-1,5).