Question

The coornidates of the midpoint of BC is at M (5, -2). The coordinates of B are (3, 1). Find the coordinates of the other endpoint C.

Answer 1

Answer:

The other endpoint is (7, -5)

Step-by-step explanation:

We can use the formula for the midpoint to find the coordinates of the other endpoint of the segment BC:

xm = x1 + (x2 - x1)/2

ym = y1 + (y2 - y1)/2

For our case, replacing the given coordinates and solving for x2 and y2 (the coordinates of the other endpoint) we get:

For x2:

xm = x1 + (x2 - x1)/2

5 = 3 + (x2 - 3)/2

5 - 3 = (x2 - 3)/2

2 = (x2 - 3)/2

4 = x2 - 3

x2 = 4 + 3 = 7

For y2:

ym = y1 + (y2 - y1)/2

-2 = 1 + (y2 - 1)/2

-2 -1 = (y2 - 1)/2

-3 = (y2 - 1)/2

-6 = y2 - 1

y2 = -6 + 1 = -5

Therefore the other endpoint is (7, -5)