How to find a rectangle on a coordinate plane - ISEE Lower Level Quantitative Reasoning

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Question

A shape is plotted on a coordinate axis. The endpoints are . What shape is it?

Answer

Plot the points on a coordinate axis. Once it's graphed, you can see that there are two pairs of congruent, or equal, sides. The shape that best fits these characteristics is a rectangle.

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Question

Rectangle has coordinate points: , , , . Find the area of rectangle .

Answer

The area of rectangle can be found by multiplying the width and length of the rectangle.

To find the length of the rectangle compare the x values of two of the coordinates:

Since the length is .

To find the width of the rectangle we need to look at the y coordinates of two of the points.

Since the width is .

The solution is:


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Question

Rectangle has coordinate points: , , , . Find the perimeter of rectangle

Answer

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:


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Question

Rectangle has coordinate points: , , , . Find the perimeter of rectangle .

Answer

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:

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Question

New_vt_custom_xy_plane2

Rectangle has coordinates: ,, , . Find the area of rectangle .

Answer

In order to find the area of rectangle apply the formula:

Since rectangle has a width of and a length of the solution is:

square units

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Question

New_vt_custom_xy_plane2

Rectangle has coordinates: ,, , . What is the perimeter?

Answer

To find the perimeter of rectangle , apply the formula:

Thus, the solution is:



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Question

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

Answer

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

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Question

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

Answer

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

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Question

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

Answer

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

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Question

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

Answer

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

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Question

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

Answer

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

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Question

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

Answer

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

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Question

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

Answer

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

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Question

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

Answer

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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Question

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

Answer

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 33

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Question

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

Answer

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 37

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Question

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

Answer

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 41

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Question

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

Answer

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 45

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Question

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

Answer

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

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Question

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

Answer

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

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