Common Core: 6th Grade Math : Draw Polygons in the Coordinate Plane and Solve for Side Lengths: CCSS.Math.Content.6.G.A.3

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #43 : Geometry

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

\(\displaystyle (0,14)\)

\(\displaystyle (0,-9)\)

\(\displaystyle (-12,14)\)

\(\displaystyle (-12,-9)\)

Possible Answers:

 

Plot 25

 

Plot 26

 

Plot 28

 

Plot 27

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 #44 : Geometry

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

\(\displaystyle (0,6)\)

\(\displaystyle (0,7)\)

\(\displaystyle (-1,6)\)

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

Possible Answers:

 

Plot 31

 

Plot 29

 

Plot 32

 

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 \(\displaystyle (x,y)\).

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

Example Question #45 : Geometry

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

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

\(\displaystyle (6,-1)\)

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

\(\displaystyle (-5,-1)\)

Possible Answers:

 

Plot 35

 

Plot 34

 

Plot 33

 

Plot 36

Correct answer:

 

Plot 33

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 33

Example Question #46 : Geometry

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

\(\displaystyle (13,12)\)

\(\displaystyle (13,8)\)

\(\displaystyle (10,12)\)

\(\displaystyle (10,8)\)

Possible Answers:

 

Plot 40

 

Plot 39

 

Plot 37

 

Plot 38

Correct answer:

 

Plot 37

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 37

Example Question #47 : Geometry

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

\(\displaystyle (7,6)\)

\(\displaystyle (7,10)\)

\(\displaystyle (14,6)\)

\(\displaystyle (14,10)\)

Possible Answers:

 

Plot 44

 

Plot 42

 

Plot 41

 

Plot 43

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 #48 : Geometry

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

\(\displaystyle (-10,-1)\)

\(\displaystyle (-10,2)\)

\(\displaystyle (-2,-1)\)

\(\displaystyle (-2,2)\)

Possible Answers:

 

Plot 45

 

Plot 46

 

Plot 47

 

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 #49 : Geometry

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

\(\displaystyle (-3,1)\)

\(\displaystyle (-3,-8)\)

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

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

Possible Answers:

 

Plot 4

 

Plot 2

 

Plot 1

 

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 \(\displaystyle (x,y)\).

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

Example Question #50 : Geometry

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

\(\displaystyle (-2,14)\)

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

\(\displaystyle (-10,14)\)

\(\displaystyle (-10,-5)\)

Possible Answers:

 

Plot 8

 

Plot 6

 

Plot 5

 

Plot 7

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 #31 : 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:

\(\displaystyle (2,-15)\)

\(\displaystyle (2,8)\)

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

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

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 \(\displaystyle (x,y)\).

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 #32 : 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:

\(\displaystyle (-8,13)\)

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

\(\displaystyle (5,13)\)

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

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 \(\displaystyle (x,y)\).

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

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