# SSAT Upper Level Math : How to find the midpoint of a line segment

## Example Questions

### Example Question #1 : Midpoint Formula

A line segment on the coordinate plane has endpoints  and . In terms of  and , as applicable, give the -coordinate of its midpoint.

Explanation:

The -coordinate of the midpoint of a line segment is the mean of the -coordinates of its endpoints. Therefore, the -coordinate is

.

### Example Question #2 : Midpoint Formula

A line segment on the coordinate plane has endpoints  and . In terms of  and , as applicable, give the -coordinate of its midpoint.

Explanation:

The -coordinate of the midpoint of a line segment is the mean of the -coordinates of its endpoints. Therefore, the -coordinate is

.

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

A line segment has the endpoints  and . What is the midpoint of the line?

Explanation:

To find the midpoint of a line, take the averages of the x-coordinates and the average of the y-coordinates.

### Example Question #2 : Midpoint Formula

What is the midpoint of a line segment with endpoints  and ?

Explanation:

To find the midpoint of a line, just take the average of the -coordinates and the average of the -coordinates.

### Example Question #3 : Midpoint Formula

What is the midpoint of a line segments with endpoints  and ?

Explanation:

To find the midpoint of a line segment, take the average of the -coordinates, then take the average of the -coordinates.

### Example Question #2 : Midpoint Formula

A line has the endpoints . What is its midpoint?

Explanation:

The coordinates of the midpoint of a line are just the averages of the coordinates of the endpoints.

### Example Question #3 : Midpoint Formula

A line segment has endpoints . What is the midpoint of this line segment?

Explanation:

To find the coordinates of the midpoint of a line, take the averages of the x and y coordinates of the endpoints.

### Example Question #2 : Midpoint Formula

What is the midpoint of a line if the endpoints of the line are:  ?