### All SAT Math Resources

## Example Questions

### Example Question #13 : Midpoint Formula

The following coordinates represent the vertices of a box. Where does the center of the box lie?

**Possible Answers:**

None of the given answers

**Correct answer:**

To solve this, we need to choose two points that lie diagonally across from each other. Let's use and . Now, we can substitute these points into the Midpoint Formula.

### Example Question #14 : Midpoint Formula

Give the coordinates of the midpoint, in terms of , of a segment on the coordinate plane whose endpoints are and .

**Possible Answers:**

**Correct answer:**

The coordinates of the midpoint of the line segment with endpoints and can be calculated using the formulas

and

.

Setting and , and substituting:

Setting and , and substituting:

The coordinates of the midpoint, in terms of , are

### Example Question #12 : How To Find The Midpoint Of A Line Segment

The two endpoints of a line segment are and . Find the midpoint.

**Possible Answers:**

**Correct answer:**

In order to find the midpoint of a line segment, you need to average the x and y values of the endpoints.

The midpoint formula is

After plugging in the values you get

for x

and for y

Therefore, the midpoint is at .

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