Question

If (2,-3) is an endpoint and (2,5) is the midpoint, what is the coordinate of the other endpoint?

A) (2,1)
B) (2,8)
C) (2,-11)
D) (2,-1)

Answer 1

The coordinate of the other endpoint is (2, 13), which is not one of the provided answer choices.

Step-by-step explanation:

To find the coordinate of the other endpoint, we can use the formula for the midpoint between two points. Let's denote the coordinates of the first endpoint as (x1, y1) and the midpoint as (x2, y2). Since the x-coordinate of both points is 2, we have x1 = 2 and x2 = 2. Using the formula for the midpoint, we can find the y-coordinate of the other endpoint:

y2 = (y1 + y2) / 2

Substituting the known values, we have 5 = (-3 + y2) / 2. Solving for y2, we can multiply both sides of the equation by 2 and subtract -3 to isolate y2:

10 = -3 + y2

y2 = 13

Therefore, the coordinate of the other endpoint is (2, 13), which is not one of the provided answer choices. This means that none of the options given in the question are correct.