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

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

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Example Questions

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Example Question #1 : Geometry

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

Possible Answers:

Triangle

Parallelogram

Trapezoid

Rectangle

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

Rectangle  has coordinates: ,. Find the area of rectangle .

Possible Answers:

 square units

 square units

 square units

 square units

Correct answer:

 square units

Explanation:

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

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Rectangle  has 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

Rectangle  has 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 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 #5 : How To Find A Rectangle On A Coordinate Plane

Rectangle  has coordinate points: . Find the perimeter of rectangle 

Possible Answers:

 

Correct answer:

Explanation:

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

Rectangle  has coordinate points: . Find the perimeter of rectangle 

Possible Answers:

Correct answer:

Explanation:

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 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

Select the graph that displays the polygon created using the following coordinates:

Possible Answers:

 

Plot 3

 

Plot 1

 

Plot 2

 

Plot 4

Correct answer:

 

Plot 1

Explanation:

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:

 

Plot 1

Example Question #1 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

Select the graph that displays the polygon created using the following coordinates:

Possible Answers:

 

Plot 5

 

Plot 7

 

Plot 8

 

Plot 6

Correct answer:

 

Plot 5

Explanation:

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:

 

Plot 5

Example Question #1561 : Grade 6

Select the graph that displays the polygon created using the following coordinates:

Possible Answers:

 

Plot 9

 

Plot 12

 

Plot 10

 

Plot 11

Correct answer:

 

Plot 9

Explanation:

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:

 

Plot 9

Example Question #1 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

Select the graph that displays the polygon created using the following coordinates:

Possible Answers:

 

Plot 15

 

Plot 16

 

Plot 13

 

Plot 14

Correct answer:

 

Plot 13

Explanation:

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:

 

Plot 13

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