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

Example Question #103 : Geometry

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

\(\displaystyle (8,13)\)

\(\displaystyle (8,3)\)

\(\displaystyle (3,13)\)

\(\displaystyle (3,3)\)

Possible Answers:

 

Plot 43

 

Plot 42

 

Plot 41

 

Plot 44

Correct answer:

 

Plot 41

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 \(\displaystyle (x,y)\).

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 41

Example Question #104 : Geometry

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

\(\displaystyle (-12,0)\)

\(\displaystyle (-12,-1)\)

\(\displaystyle (7,0)\)

\(\displaystyle (7,-1)\)

Possible Answers:

 

Plot 45

 

Plot 47

 

Plot 46

 

Plot 48

Correct answer:

 

Plot 45

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 \(\displaystyle (x,y)\).

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 45

Example Question #105 : Geometry

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

 

 

 

 

Possible Answers:

 

Plot 3

 

Plot 2

 

Plot 1

 

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 #106 : Geometry

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

\(\displaystyle (4,14)\)

\(\displaystyle (4,15)\)

\(\displaystyle (-14,14)\)

\(\displaystyle (-14,15)\)

Possible Answers:

 

Plot 8

 

Plot 7

 

Plot 5

 

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 \(\displaystyle (x,y)\).

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 #91 : 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:

\(\displaystyle (-6,-5)\)

\(\displaystyle (-6,13)\)

\(\displaystyle (13,-5)\)

\(\displaystyle (13,13)\)

Possible Answers:

 

Plot 10

 

Plot 11

 

Plot 12

 

Plot 9

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 \(\displaystyle (x,y)\).

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 #92 : 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:

\(\displaystyle (-14,8)\)

\(\displaystyle (-14,13)\)

\(\displaystyle (-9,8)\)

\(\displaystyle (-9,13)\)

Possible Answers:

 

Plot 15

 

Plot 14

 

Plot 13

 

Plot 16

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 \(\displaystyle (x,y)\).

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 #93 : 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:

\(\displaystyle (9,3)\)

\(\displaystyle (9,-1)\)

\(\displaystyle (8,3)\)

\(\displaystyle (8,-1)\)

Possible Answers:

 

Plot 19

 

Plot 18

 

Plot 17

 

Plot 20

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 \(\displaystyle (x,y)\).

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 #111 : Coordinate Geometry

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

\(\displaystyle (4,10)\)

\(\displaystyle (4,-6)\)

\(\displaystyle (-7,10)\)

\(\displaystyle (-7,-6)\)

Possible Answers:

 

Plot 24

 

Plot 21

 

Plot 23

 

Plot 22

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 \(\displaystyle (x,y)\).

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 #112 : Coordinate Geometry

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

\(\displaystyle (-5,11)\)

\(\displaystyle (-5,14)\)

\(\displaystyle (-3,11)\)

\(\displaystyle (-3,14)\)

Possible Answers:

 

Plot 26

 

Plot 27

 

Plot 25

 

Plot 28

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 \(\displaystyle (x,y)\).

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 #113 : Coordinate Geometry

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

\(\displaystyle (-15,-10)\)

\(\displaystyle (-15,1)\)

\(\displaystyle (0,-10)\)

\(\displaystyle (0,1)\)

Possible Answers:

 

Plot 32

 

Plot 30

 

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 \(\displaystyle (x,y)\).

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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