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

1

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

Plot 5

Plot 6

Plot 7

Plot 8

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

2

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

Plot 17

Plot 18

Plot 19

Plot 20

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

3

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

Plot 9

Plot 10

Plot 11

Plot 12

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

4

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

Plot 41

Plot 42

Plot 43

Plot 44

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 41

5

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

Plot 41

Plot 42

Plot 43

Plot 44

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 41

6

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

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:

7

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

Plot 1

Plot 2

Plot 3

Plot 4

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

8

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

Plot 33

Plot 34

Plot 35

Plot 36

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 33

9

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

Plot 29

Plot 30

Plot 31

Plot 32

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

10

New_vt_custom_xy_plane2

Rectangle $\small ABCD$ has coordinates: $\small A(-4,-3)$ , $\small B(-4,1)$ , $\small C(3,1)$ , $\small D(3,-3)$ . Find the area of rectangle $\small ABCD$ .