# ISEE Lower Level Quantitative : Coordinate Geometry

## Example Questions

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

Rectangle  has coordinate points: . Find the perimeter of rectangle

Explanation:

In order to find the perimeter of a rectangle apply the formula:

Thus the solution is:
Looking at the coordinate points we found our width and our length.

Plugging these values into the perimeter equation we get:

### Example Question #6 : How To Find A Rectangle On A Coordinate Plane

Rectangle  has coordinate points: . Find the perimeter of rectangle

Explanation:

In order to find the perimeter of rectangle apply the formula:

To find the length and width of the rectangle look at the difference in the x values and look for the difference in the y values of the coordinates.

Since, the width of rectangle  is  and the length is  the solution is:

### Example Question #7 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates:

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

### Example Question #8 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates:

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

### Example Question #9 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates:

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

### Example Question #10 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates:

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

### Example Question #11 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates:

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

### Example Question #12 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates:

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

### Example Question #13 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates:

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

### Example Question #14 : How To Find A Rectangle On A Coordinate Plane

Select the graph that displays the polygon created using the following coordinates: