# SAT Math : Lines

## Example Questions

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### Example Question #573 : Geometry

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

Explanation:

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 #574 : Geometry

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

Explanation:

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 #575 : Geometry

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

Explanation:

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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