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ISEE Lower Level Quantitative : Coordinate Geometry

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

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Rectangle ABCD $\displaystyle ABCD$ has coordinate points: A(-5,0) $\displaystyle A(-5,0)$ , B(-5,5) $\displaystyle B(-5,5)$ , C(-1,5) $\displaystyle C(-1,5)$ , D(-1,0) $\displaystyle D(-1,0)$ . Find the perimeter of rectangle ABCD. $\displaystyle ABCD.$

Possible Answers:

$\displaystyle 18$

$\displaystyle 32$

$\displaystyle 20$

$\displaystyle 16$

Correct answer:

$\displaystyle 18$

Explanation:

In order to find the perimeter of a rectangle apply the formula:

$\displaystyle p=2(width)+2(length)$

Thus the solution is:
Looking at the coordinate points we found our width $\displaystyle =4$ and our length $\displaystyle =5$ .

Plugging these values into the perimeter equation we get:

$\displaystyle p=2(4)+2(5)$
$\displaystyle p=8+10=18$

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

Rectangle ABCD $\displaystyle ABCD$ has coordinate points: A(-2,2) $\displaystyle A(-2,2)$ , B(-2,4) $\displaystyle B(-2,4)$ , C(2,4) $\displaystyle C(2,4)$ , D(2,2) $\displaystyle D(2,2)$ . Find the perimeter of rectangle ABCD $\displaystyle ABCD$ .

Possible Answers:

$\displaystyle 12$

$\displaystyle 8$

$\displaystyle 15$

$\displaystyle 10$

$\displaystyle 16$

Correct answer:

$\displaystyle 12$

Explanation:

In order to find the perimeter of rectangle apply the formula: $\displaystyle p=2(width) + 2(length)$

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.

$A(-2,2), B(-2,4) \rightarrow 4-2=2$ $\displaystyle A(-2,2), B(-2,4) \rightarrow 4-2=2$

$B(-2,4), C(2,4) \rightarrow 2-(-2)=4$ $\displaystyle B(-2,4), C(2,4) \rightarrow 2-(-2)=4$

Since, the width of rectangle ABCD $\displaystyle ABCD$ is $\displaystyle 4$ and the length is $\displaystyle 2$ the solution is:

$\displaystyle p=2(4)+2(2)=8+4=12$

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

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

(5,-9) $\displaystyle (5,-9)$

(5,-3) $\displaystyle (5,-3)$

(-6,-9) $\displaystyle (-6,-9)$

(-6,-3) $\displaystyle (-6,-3)$

Possible Answers:

Plot 4

Plot 1

Plot 2

Plot 3

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 (x,y) $\displaystyle (x,y)$ .

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 1

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

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

(2,11) $\displaystyle (2,11)$

(2,5) $\displaystyle (2,5)$

(-2,11) $\displaystyle (-2,11)$

(-2,5) $\displaystyle (-2,5)$

Possible Answers:

Plot 5

Plot 8

Plot 7

Plot 6

Correct answer:

Plot 5

Explanation:

Plot 5

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

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

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

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

(8,-6) $\displaystyle (8,-6)$

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

Possible Answers:

Plot 9

Plot 10

Plot 12

Plot 11

Correct answer:

Plot 9

Explanation:

Plot 9

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

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

(14,9) $\displaystyle (14,9)$

(14,-7) $\displaystyle (14,-7)$

(-4,9) $\displaystyle (-4,9)$

(-4,-7) $\displaystyle (-4,-7)$

Possible Answers:

Plot 14

Plot 13

Plot 15

Plot 16

Correct answer:

Plot 13

Explanation:

Plot 13

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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:

(-10,4) $\displaystyle (-10,4)$

(-10,8) $\displaystyle (-10,8)$

(-2,4) $\displaystyle (-2,4)$

(-2,8) $\displaystyle (-2,8)$

Possible Answers:

Plot 19

Plot 20

Plot 18

Plot 17

Correct answer:

Plot 17

Explanation:

Plot 17

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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:

$\displaystyle (-7,-13)$

(-7,0) $\displaystyle (-7,0)$

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

(9,0) $\displaystyle (9,0)$

Possible Answers:

Plot 23

Plot 22

Plot 24

Plot 21

Correct answer:

Plot 21

Explanation:

Plot 21

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Example Question #11 : How To Find A Rectangle On A Coordinate Plane

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

$\displaystyle (-13,-4)$

$\displaystyle (-13,-2)$

$\displaystyle (-15,-4)$

$\displaystyle (-15,-2)$

Possible Answers:

Plot 26

Plot 25

Plot 28

Plot 27

Correct answer:

Plot 25

Explanation:

Plot 25

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Example Question #12 : How To Find A Rectangle On A Coordinate Plane

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

(14,14) $\displaystyle (14,14)$

(14,-7) $\displaystyle (14,-7)$

(9,14) $\displaystyle (9,14)$

(9,-7) $\displaystyle (9,-7)$

Possible Answers:

Plot 31

Plot 30

Plot 29

Plot 32

Correct answer:

Plot 29

Explanation:

Plot 29

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Lower Level Quantitative : Coordinate Geometry

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

All ISEE Lower Level Quantitative Resources

Example Questions

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

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

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

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

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

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

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

Example Question #2 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

Example Question #11 : How To Find A Rectangle On A Coordinate Plane

Example Question #12 : How To Find A Rectangle On A Coordinate Plane

All ISEE Lower Level Quantitative Resources

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