Geometry

Question Analysis

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

 

Key Concept Explanation

The midpoint formula for two points and is . If we know the midpoint and one endpoint , we can find 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: .

Multiply both sides by 2:

Click "Show Answer" to reveal the answer and analysis