# SSAT Middle Level Math : Geometry

## Example Questions

### Example Question #1 : How To Find Length Of A Line

Figure NOT drawn to scale.

Evaluate .

Explanation:

### Example Question #221 : Geometry

What is the length of a line segment with end points  and ?

Explanation:

The length of a line segment can be determined using the distance formula:

### Example Question #222 : Geometry

What is the length of a line with endpoints and .

Explanation:

To find the length of this line, you can subtract to get . Since the y-coordinates are the same, you don't have to take any vertical direction into account. Therefore, you only look at the x-coordinates!

### Example Question #4 : How To Find Length Of A Line

Find the length of the line segment whose endpoints are and .

Explanation:

We can use the distance formula:

### Example Question #1 : How To Find Length Of A Line

The point lies on a circle. What is the length of the radius of the circle if the center is located at ?

Explanation:

The radius is the distance from the center of the circle to anypoint on the circle. So we can use the distance formula in order to find the radius of the circle:

### Example Question #11 : Lines

The coordinates of and are and . Find the length of the diagonal of the following rectangle:

Explanation:

A rectangle has two diagonals with the same length. So we should find the length of . We can use the distance formula:

### Example Question #12 : Lines

If a circle has a radius of 12 inches, the biggest line that would be drawn within the circle is:

Explanation:

The largest line that can be drawn within a circle is the diamater. The diameter is equal to twice the radius. Given that the radius is equal to 12 inches, the largest line that could be drawn (the diameter) would be equal to 24 inches.

### Example Question #223 : Geometry

The diameter of a circle is  centimeters. What is one-fourth of the circle's radius?