All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #1 :How To Find A Parallelogram On A Coordinate Plane
The parallelogram shown above has a height ofand a base of length. Find the area of the parallelogram.
square units
square units
square units
square units
square units
To find the area of the parallelogram apply the formula:
Since, the paralleogram has a base ofand a height ofthe solution is:
Example Question #2 :How To Find A Parallelogram On A Coordinate Plane
The parallelogram shown above has a height ofand a base of length. Find the perimeter of the parallelogram.
In order to find the correct perimeter of the parallelogram apply the formula:, wherethe length of one of the diagonal sides andthe length of the base.
In order to find the length of side, apply the formula:. By drawing an altitude from pointto, a right triangle is formed with a base that has a length ofand a height of.
Thus, the solution is:
length of side
Therefore,
Example Question #3 :How To Find A Parallelogram On A Coordinate Plane
Identify the coordinate points for the parallelogram that is shown above.
In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the samevalues.
Thus, the parallelogram has coordinate points:
Example Question #4 :How To Find A Parallelogram On A Coordinate Plane
What is the area of the parallelogram shown above?
square units
square units
square units
square units
square units
To find the area of the parallelogram that is shown, apply the formula:
Since the parallelogram has a base ofand a height ofthe solution is:
Example Question #5 :How To Find A Parallelogram On A Coordinate Plane
Given that the above parallelogram has base sides with a length ofand diagonal sides with a length ofwhat is the perimeter of the parallelogram?
In order to find the perimeter of the parallelogram apply the formula:, wherethe length of one diagonal side andthe length of one base.
In this problem,and.
Thus, the correct answer is:
Example Question #6 :How To Find A Parallelogram On A Coordinate Plane
Identify the coordinate points for the parallelogram shown above.
In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the samevalues.
Thus, the correct set of coordinates is:
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?
Rectangle
Trapezoid
Triangle
Parallelogram
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 #2 :How To Find A Rectangle On A Coordinate Plane
Rectanglehas coordinates:,,,. Find the area of rectangle.
square units
square units
square units
square units
square units
为了找到该地区of rectangleapply the formula:
Since rectanglehas a width of和一个长度the solution is:
square units
Example Question #3 :How To Find A Rectangle On A Coordinate Plane
Rectanglehas coordinates:,,,. What is the perimeter?
To find the perimeter of rectangle, apply the formula:
Thus, the solution is:
Example Question #4 :How To Find A Rectangle On A Coordinate Plane
Rectanglehas coordinate points:,,,. Find the area of rectangle.
square units
square units
square units
square units
square units
The area of rectanglecan 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:
Sincethe length is.
To find the width of the rectangle we need to look at the y coordinates of two of the points.
Sincethe width is.
The solution is:
Certified Tutor