Geometry

Question Analysis

This question is about using the midpoint formula in reverse within 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 solve for the other endpoint by re - arranging the formula.

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: