Question

The midpoint of UV is M(3, 2). One endpoint is U(1, 3). Find the coordinates of the other

endpoint V.
Write the coordinates as decimals or integers.

Answer 1

V(5, 1)

Explanation:

Given:

M(3, 2)

U(1, 3)

From midpoint to U:

(x, y) → (x - 2, y + 1)

To get from midpoint to V, we inverse the formula:

(x, y) → (x - 2, y + 1)

(x, y) → (x + 2, y - 1)

To find V:

(x, y) → (x + 2, y - 1)

(3, 2) → (3 + 2, 2 - 1)

(3, 2) → (5, 1)