# ISEE Lower Level Quantitative : How to find a rectangle on a coordinate plane

## Example Questions

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

A shape is plotted on a coordinate axis. The endpoints are . What shape is it?

Parallelogram

Square

Triangle

Trapezoid

Rectangle

Rectangle

Explanation:

Plot the points on a coordinate axis. Once it's graphed, you can see that there are two pairs of congruent, or equal, sides. The shape that best fits these characteristics is a rectangle.

### Example Question #1 : Coordinate Geometry

Rectangle  has coordinates: ,. Find the area of rectangle .

square units

square units

square units

square units

square units

Explanation:

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

Since rectangle  has a width of  and a length of  the solution is:

square units

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

Rectangle  has coordinates: ,. What is the perimeter?

Explanation:

To find the perimeter of rectangle , apply the formula:

Thus, the solution is:

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

Rectangle  has coordinate points: . Find the area of rectangle

square units

square units

square units

square units

square units

Explanation:

The area of rectangle  can be found by multiplying the width and length of the rectangle.

To find the length of the rectangle compare the x values of two of the coordinates:

Since  the length is .

To  find the width of the rectangle we need to look at the y coordinates of two of the points.

Since  the width is .

The solution is:

### 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 #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 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 #1 : 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 #1 : 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 #3 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

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 #1 : 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:

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