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?
Parallelogram
Rectangle
Trapezoid
Triangle
Square
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 : How To Find A Rectangle On A Coordinate Plane
Rectangle has coordinates: ,, , . Find the area of rectangle .
square units
square units
square units
square units
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?
To find the perimeter of rectangle , apply the formula:
Thus, the solution is:
Example Question #2 : 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
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
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 #2 : How To Find A Rectangle On A Coordinate Plane
Rectangle has coordinate points: , , , . Find the perimeter of rectangle .
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:
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 : How To Find A Rectangle On A Coordinate Plane
Select the graph that displays the polygon created using the following coordinates:
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:
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:
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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