Question

If A(2, 5) is the midpoint of B(x, 4) and C(2, y), find the values of x and y.

• A. x = 1, y = 5
• B. x = -1, y = 4
• C. x = 2, y = 6
• D. x = 4, y = -1

Answer 1

The correct option is C x = 2, y = 6

Given: Points B(x, 4) and C(2, y), Midpoint of BC = A(2, 5)

We know that midpoint of $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$.

(2, 5) = $(\frac{x+2}{2},\frac{4+y}{2})$

2 = $\frac{x+2}{2}$
x + 2 = 4
x = 2

5 = $\frac{4+y}{2}$
4 + y = 10
y = 6