### All ISEE Lower Level Quantitative Resources

## Example Questions

### Example Question #1 : Geometry

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

**Possible Answers:**

Rectangle

Parallelogram

Trapezoid

Square

Triangle

**Correct answer:**

Rectangle

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 .

**Possible Answers:**

square units

square units

square units

square units

**Correct answer:**

square units

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 #2 : Coordinate Geometry

Rectangle has coordinates: ,, , . What is the perimeter?

**Possible Answers:**

**Correct answer:**

To find the perimeter of rectangle , apply the formula:

Thus, the solution is:

### Example Question #1 : Geometry

Rectangle has coordinate points: , , , . Find the area of rectangle .

**Possible Answers:**

square units

square units

square units

square units

**Correct answer:**

square units

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

**Possible Answers:**

**Correct answer:**

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 .

**Possible Answers:**

**Correct answer:**

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: