# PSAT Math : How to find the midpoint of a line segment

## Example Questions

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

A line segment has endpoints (0,4) and (5,6). What are the coordinates of the midpoint?

(2.5,-5)

(0,6)

(2.5,5)

(0,4)

(3,9)

(2.5,5)

Explanation:

A line segment has endpoints (0,4) and (5,6). To find the midpoint, use the midpoint formula:

X: (x1+x2)/2 = (0+5)/2 = 2.5

Y: (y1+y2)/2 = (4+6)/2 = 5

The coordinates of the midpoint are (2.5,5).

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

Find the midpoint between (-3,7) and (5,-9)

(4,-1)

(1,-8)

(4,-8)

(-1,-1)

(1,-1)

(1,-1)

Explanation:

You can find the midpoint of each coordinate by averaging them.  In other words, add the two x coordinates together and divide by 2 and add the two y coordinates together and divide by 2.

x-midpoint = (-3 + 5)/2 = 2/2 = 1

y-midpoint = (7 + -9)/2 = -2/2 = -1

(1,-1)

### Example Question #3 : How To Find The Midpoint Of A Line Segment

Find the coordinates for the midpoint of the line segment that spans from (1, 1) to (11, 11).

(7, 7)

(6, 5)

(5, 6)

(5, 5)

(6, 6)

(6, 6)

Explanation:

The correct answer is (6, 6). The midpoint formula is ((x+ x2)/2),((y+ y2)/2) So 1 + 11 = 12, and 12/2 = 6 for both the x and y coordinates.

### Example Question #1 : Midpoint Formula

What is the midpoint between the points (–1, 2) and (3, –6)?

(–1,2)

(1,2)

(1,–2)

(–2,–1)

(3,1)

(1,–2)

Explanation:

midpoint = ((x1 + x2)/2, (y1 + y2)/2)

= ((–1 + 3)/2, (2 – 6)/2)

= (2/2, –4/2)

= (1,–2)

### Example Question #5 : How To Find The Midpoint Of A Line Segment

A line segment connects the points and . What is the midpoint of this segment?

Explanation:

To solve this problem you will need to use the midpoint formula:

Plug in the given values for the endpoints of the segment: and .

### Example Question #571 : Geometry

What is the midpoint between  and ?

Explanation:

The midpoint is the point halfway between the two endpoints, so sum up the coordinates and divide by 2:

### Example Question #7 : How To Find The Midpoint Of A Line Segment

has endpoints  and

What is the midpoint of

Explanation:

The midpoint is simply the point halfway between the x-coordinates and halfway between the y-coordinates:

Sum the x-coordinates and divide by 2:

Sum the y-coordinates and divide by 2:

Therefore the midpoint is (5.5, 6.5).