Geometry

Question Analysis

This question is about applying the midpoint formula in reverse in the context of coordinate geometry.

Key Concept Explanation

The midpoint formula for two points and is . If we know the midpoint and one endpoint , we can re - arrange the formula to find the other endpoint .

Step - by - Step Solution

1. Let the coordinates of point be .

Given the midpoint and point .

For the -coordinate:

Using the midpoint formula , where , , and .

Substitute into the formula: .

Multiply both sides by 2: