ISEE Lower Level Quantitative : Coordinate Geometry

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

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Example Questions

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

Rectanglehas 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 widthand our length.

Plugging these values into the perimeter equation we get:


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

Rectanglehas 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 rectangleisand the length isthe solution is:

Example Question #7 :How To Find A Rectangle On A Coordinate Plane

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

Possible Answers:

Plot 3

Plot 2

Plot 4

Plot 1

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 #141 :Geometry

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

Possible Answers:

Plot 6

Plot 8

Plot 7

Plot 5

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 #142 :Geometry

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

Possible Answers:

Plot 12

Plot 9

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 #143 :Geometry

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

Possible Answers:

Plot 16

Plot 14

Plot 15

Plot 13

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

Example Question #144 :Geometry

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

Possible Answers:

Plot 18

Plot 19

Plot 20

Plot 17

Correct answer:

Plot 17

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 17

Example Question #145 :Geometry

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

Possible Answers:

Plot 23

Plot 21

Plot 22

Plot 24

Correct answer:

Plot 21

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 21

Example Question #146 :Geometry

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

Possible Answers:

Plot 28

Plot 27

Plot 25

Plot 26

Correct answer:

Plot 25

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 25

Example Question #147 :Geometry

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

Possible Answers:

Plot 30

Plot 32

Plot 31

Plot 29

Correct answer:

Plot 29

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 29

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