ISEE Lower Level Quantitative : Geometry

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

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Example Questions

Example Question #2 : 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 #1 : 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 2

 

Plot 4

 

Plot 3

 

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

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

Possible Answers:

 

Plot 7

 

Plot 8

 

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 .

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

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

Possible Answers:

 

Plot 9

 

Plot 12

 

Plot 11

 

Plot 10

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 #4 : 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 16

 

Plot 15

 

Plot 14

 

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 #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 20

 

Plot 17

 

Plot 19

 

Plot 18

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 #2 : 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 22

 

Plot 23

 

Plot 24

 

Plot 21

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 #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 25

 

Plot 27

 

Plot 26

 

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 .

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 #11 : Geometry

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

Possible Answers:

 

Plot 31

 

Plot 32

 

Plot 29

 

Plot 30

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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