### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #1 : How To Find The Points On A Coordinate Plane

Which of the following points would be located in Quadrant III?

**Possible Answers:**

**Correct answer:**

By definition, a point on the coordinate plane that is in Quadrant III must have both a negative coordinate and a negative coordinate. The only answer choice that satisfies both of these conditions is .

### Example Question #1 : How To Find The Points On A Coordinate Plane

In which quadrant or on what axis will you find the point ?

**Possible Answers:**

Quadrant IV

Quadrant II

Quadrant III

The -axis

Quadrant I

**Correct answer:**

Quadrant II

The point has a negative coordinate and a positive coordinate. By definition, any point on a coordinate plane with these characteristics is located in Quadrant II.

### Example Question #2 : How To Find The Points On A Coordinate Plane

In which quadrant or on which axis will you find the point ?

**Possible Answers:**

Quadrant II

The -axis

Quadrant III

Quadrant I

The -axis

**Correct answer:**

The -axis

The point does not move in any direction on the -axis, but does move units up on the -axis. Therefore, the point is located only on the -axis.

### Example Question #2 : How To Find The Points On A Coordinate Plane

In which quadrant or on which axis will you find the point ?

**Possible Answers:**

Quadrant II

Quadrant I

Quadrant III

Quadrant III

The -axis

**Correct answer:**

Quadrant III

By definition, a point with a negative -coordinate and a negative -coordinate lies in Quadrant III on the coordinate plane.

### Example Question #2 : How To Find The Points On A Coordinate Plane

Which of the following points is in Quadrant II on the coordinate plane?

**Possible Answers:**

**Correct answer:**

All points in Quadrant II have negative -coordinates and positive -coordinates. The only answer that fulfills these criteria is .

### Example Question #11 : Graphing Points

In which quadrant or on which axis will we find the point ?

**Possible Answers:**

Quadrant II

Quadrant I

The -axis

Quadrant IV

The -axis

**Correct answer:**

The -axis

By definition, any point in the coordinate plane that has a non-zero value -coordinate and a zero-value -coordinate is on the -axis.

### Example Question #12 : Graphing Points

In which quadrant or on which axis of the coordinate plane will you find the point ?

**Possible Answers:**

Quadrant I

The -axis

Quadrant IV

Quadrant III

Quadrant II

**Correct answer:**

Quadrant IV

A point with a positive -coordinate and a negative -coordinate can be found in Quadrant IV.

### Example Question #3 : How To Find The Points On A Coordinate Plane

A line segment on the coordinate plane has its endpoints at the points with coordinates and . Give the coordinates of the midpoint of the segment.

**Possible Answers:**

**Correct answer:**

The -coordinate of the midpoint can be found by dividing the sum of the -coordinates of the endpoints by 2:

The -coordinate of the midpoint is found similarly:

The coordinates of the midpoint are .

### Example Question #4 : How To Find The Points On A Coordinate Plane

A line segment on the coordinate plane has its endpoints at the points with coordinates and . Give the coordinates of the midpoint of the segment.

**Possible Answers:**

**Correct answer:**

The -coordinate of the midpoint is half the sum of the -coordinates of the endpoints:

The -coordinate of the midpoint is found similarly:

The midpoint has coordinates .

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