### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #1 : How To Do Coordinate Geometry

Which of the following points will you find on the -axis?

**Possible Answers:**

**Correct answer:**

A point is located on the -axis if and only if it has -coordinate (first coordinate) 0. Of the five choices, only fits that description.

### Example Question #3 : How To Do Coordinate Geometry

Which of the following points is on the -axis?

**Possible Answers:**

**Correct answer:**

A point is located on the -axis if and only if it has a -coordinate equal to zero. So the answer is .

### Example Question #2 : Coordinate Geometry

A line segment on the coordinate plane has its endpoints at the points with coordinates and . Give 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 midpoints is found similarly:

### Example Question #1 : 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 correct response is .

### Example Question #3 : Coordinate Geometry

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 correct response is .

### Example Question #7 : Coordinate Geometry

Angela plotted points A through E on the coordinate plane shown below.

Which point is located at the ordered pair

**Possible Answers:**

Point D

Point E

Point C

Point A

Point B

**Correct answer:**

Point B

Start at point (0, 0) in the bottom, left corner of the the coordinate plane. From there, count right 2 spaces. This is the first number in the given ordered pair. From that point, count up 8 spaces. This is the second number in the given ordered pair.

By moving right 2 and up 8, you should have found Point B.

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