Geometry

Question Analysis

This question pertains to the application of the midpoint formula in reverse within the context of coordinate geometry.

Key Concept Explanation

The midpoint formula for two points and is . When the midpoint and one endpoint are known, 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: , so .

Subtract