### All GRE Math Resources

## Example Questions

### Example Question #251 : Geometry

There is a line defined by two end-points, and . The midpoint between these two points is . What is the value of the point ?

**Possible Answers:**

**Correct answer:**

Recall that to find the midpoint of two points and , you use the equation:

.

(It is just like finding the average of the two points, really.)

So, for our equation, we know the following:

You merely need to solve each coordinate for its respective value.

Then, for the y-coordinate:

Therefore, our other point is:

### Example Question #1 : How To Find The Endpoints Of A Line Segment

There is a line defined by two end-points, and . The midpoint between these two points is . What is the value of the point ?

**Possible Answers:**

**Correct answer:**

Recall that to find the midpoint of two points and , you use the equation:

.

(It is just like finding the average of the two points, really.)

So, for our equation, we know the following:

You merely need to solve each coordinate for its respective value.

Then, for the y-coordinate:

Therefore, our other point is:

### Example Question #2 : How To Find The Endpoints Of A Line Segment

What is the other endpoint of a line segment with one point that is and a midpoint of ?

**Possible Answers:**

**Correct answer:**

Recall that the midpoint formula is like finding the average of the and values for two points. For two points and , it is:

For our points, we are looking for . We know:

We can solve for each of these coordinates separately:

**X-Coordinate**

**Y-Coordinate:**

Therefore, our point is

### Example Question #4 : How To Find The Endpoints Of A Line Segment

What is the other endpoint of a line segment with one point that is and a midpoint of ?

**Possible Answers:**

**Correct answer:**

What is the other endpoint of a line segment with one point that is and a midpoint of ?

Recall that the midpoint formula is like finding the average of the and values for two points. For two points and , it is:

For our points, we are looking for . We know:

We can solve for each of these coordinates separately:

**X-Coordinate**

**Y-Coordinate:**

Therefore, our point is