ISEE Lower Level Quantitative : Coordinate Geometry

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

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1 3 4 5 6 7 8 9 23 24

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 #2 :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:

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?

Possible Answers:

Rectangle

Trapezoid

Triangle

Parallelogram

Square

Correct answer:

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 #2 :How To Find A Rectangle On A Coordinate Plane

New_vt_custom_xy_plane2

Rectanglehas coordinates:,,,. Find the area of rectangle.

Possible Answers:

square units

square units

square units

square units

Correct answer:

square units

Explanation:

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

New_vt_custom_xy_plane2

Rectanglehas coordinates:,,,. What is the perimeter?

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

square units

square units

square units

square units

Correct answer:

square units

Explanation:

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:


← Previous 1 3 4 5 6 7 8 9 23 24
Learning Tools by Varsity Tutors