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

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

varsity tutors app store varsity tutors android store

Example Questions

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

New_vt_custom_xy_plane5

The parallelogram shown above has a height ofand a base of length. Find the area of the parallelogram.

Possible Answers:

square units

square units

square units

square units

Correct answer:

square units

Explanation:

To find the area of the parallelogram apply the formula:

Since, the paralleogram has a base ofand a height ofthe solution is:

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

New_vt_custom_xy_plane5

The parallelogram shown above has a height ofand a base of length. Find the perimeter of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

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

New_vt_custom_xy_plane6

Identify the coordinate points for the parallelogram that is shown above.

Possible Answers:

Correct answer:

Explanation:

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

New_vt_custom_xy_plane6

What is the area of the parallelogram shown above?

Possible Answers:

square units

square units

square units

square units

Correct answer:

square units

Explanation:

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

New_vt_custom_xy_plane6

Given that the above parallelogram has base sides with a length ofand diagonal sides with a length ofwhat is the perimeter of the parallelogram?

Possible Answers:

Correct answer:

Explanation:

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

New_vt_custom_xy_plane5

Identify the coordinate points for the parallelogram shown above.

Possible Answers:

Correct answer:

Explanation:

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:

Learning Tools by Varsity Tutors