Coordinate Geometry - ISEE Lower Level Quantitative Reasoning
Card 0 of 1195
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point W (0, 0); Point X (7, 0); Point Y (7, 5); Point Z (0, 5)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point W (0, 0); Point X (7, 0); Point Y (7, 5); Point Z (0, 5)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
Start by plotting the vertices and connecting them to form a quadrilateral.
The figure that is created has four right angles. Out of the given answer choices, this can only describe a rectangle.
Start by plotting the vertices and connecting them to form a quadrilateral.
The figure that is created has four right angles. Out of the given answer choices, this can only describe a rectangle.
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A shape with points 
, 
,
, and 
is plotted on a coordinate plane. What shape is it?
A shape with points
Since each side is equal to each other, the shape must be a square.
Since each side is equal to each other, the shape must be a square.
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Angela plotted points A through E on the coordinate plane shown below.
Which point is located at the ordered pair (6, 7)?
Angela plotted points A through E on the coordinate plane shown below.
Which point is located at the ordered pair (6, 7)?
Start at point (0, 0) in the bottom, left corner of the the coordinate plane. From there, count right 6 spaces. This is the first number in the given ordered pair. From that point, count up 7 spaces. This is the second number in the given ordered pair.
By moving right 6 and up 7, you should have found Point C.
Start at point (0, 0) in the bottom, left corner of the the coordinate plane. From there, count right 6 spaces. This is the first number in the given ordered pair. From that point, count up 7 spaces. This is the second number in the given ordered pair.
By moving right 6 and up 7, you should have found Point C.
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Angela plotted points A through E on the coordinate plane shown below.
Which point is located at the ordered pair (2, 8)?
Angela plotted points A through E on the coordinate plane shown below.
Which point is located at the ordered pair (2, 8)?
Start at point (0, 0) in the bottom, left corner of the the coordinate plane. From there, count right 2 spaces. This is the first number in the given ordered pair. From that point, count up 8 spaces. This is the second number in the given ordered pair.
By moving right 2 and up 8, you should have found Point B.
Start at point (0, 0) in the bottom, left corner of the the coordinate plane. From there, count right 2 spaces. This is the first number in the given ordered pair. From that point, count up 8 spaces. This is the second number in the given ordered pair.
By moving right 2 and up 8, you should have found Point B.
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The parallelogram shown above has a height of 
and a base of length 
. Find the area of the parallelogram.
The parallelogram shown above has a height of
To find the area of the parallelogram apply the formula: 
Since, the paralleogram has a base of 
and a height of 
the solution is:
To find the area of the parallelogram apply the formula:
Since, the paralleogram has a base of
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The parallelogram shown above has a height of and a base of length . Find the perimeter of the parallelogram.
The parallelogram shown above has a height of
In order to find the correct perimeter of the parallelogram apply the formula: 
, where 
the length of one of the diagonal sides and 
the length of the base.
In order to find the length of side 
, apply the formula: 
. By drawing an altitude from point 
to 
, a right triangle is formed with a base that has a length of 
and a height of 
.
Thus, the solution is:
length of side 
Therefore,
In order to find the correct perimeter of the parallelogram apply the formula:
In order to find the length of side
Thus, the solution is:
Therefore,
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Identify the coordinate points for the parallelogram that is shown above.
Identify the coordinate points for the parallelogram that is shown above.
In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the same 
values.
Thus, the parallelogram has coordinate points: 
In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the same
Thus, the parallelogram has coordinate points:
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What is the area of the parallelogram shown above?
What is the area of the parallelogram shown above?
To find the area of the parallelogram that is shown, apply the formula: 
Since the parallelogram has a base of 
and a height of 
the solution is:
To find the area of the parallelogram that is shown, apply the formula:
Since the parallelogram has a base of
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Given that the above parallelogram has base sides with a length of 
and diagonal sides with a length of 
what is the perimeter of the parallelogram?
Given that the above parallelogram has base sides with a length of
In order to find the perimeter of the parallelogram apply the formula: 
, where 
the length of one diagonal side and 
the length of one base.
In this problem, 
and 
.
Thus, the correct answer is: 
In order to find the perimeter of the parallelogram apply the formula:
In this problem,
Thus, the correct answer is:
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Identify the coordinate points for the parallelogram shown above.
Identify the coordinate points for the parallelogram shown above.
In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the same values.
Thus, the correct set of coordinates is:
In order to identify the coordinate points for this parallelogram, notice that there must be two different pairs of coordinates with the same
Thus, the correct set of coordinates is:
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A shape is plotted on a coordinate axis. The endpoints are 
. What shape is it?
A shape is plotted on a coordinate axis. The endpoints are
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.
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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Rectangle 
has coordinate points: 
, 
, 
, 
. Find the area of rectangle 
.
Rectangle
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:
The area of rectangle
To find the length of the rectangle compare the x values of two of the coordinates:
Since
To find the width of the rectangle we need to look at the y coordinates of two of the points.
Since
The solution is:
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Rectangle 
has coordinate points: 
, 
, 
, 
. Find the perimeter of rectangle 
Rectangle
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:
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
Plugging these values into the perimeter equation we get:
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Rectangle has coordinate points: , , , . Find the perimeter of rectangle .
Rectangle
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:
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
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Rectangle 
has coordinates: 
,
, 
, 
. Find the area of rectangle 
.
Rectangle
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
In order to find the area of rectangle
Since rectangle
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Rectangle 
has coordinates: 
,
, 
, 
. What is the perimeter?
Rectangle
To find the perimeter of rectangle 
, apply the formula: 
Thus, the solution is:
To find the perimeter of rectangle
Thus, the solution is:
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Select the graph that displays the polygon created using the following coordinates:
Select the graph that displays the polygon created using the following coordinates:
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:
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:
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Select the point that has the shortest distance to the 
axis.
Select the point that has the shortest distance to the
Since the 
-axis runs vertically, the point that has the 
coordinate with the lowest absolute value will be closest to the 
-axis. Therefore, coordinate point 
has the shortest distance to the 
-axis, because the point is only a distance of 
away from the 
-axis. Every other coordinate point has an absolute distance of 
or more.
Since the
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Select the graph that displays the polygon created using the following coordinates:
Select the graph that displays the polygon created using the following coordinates:
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:
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:
Compare your answer with the correct one above
Select the graph that displays the polygon created using the following coordinates:
Select the graph that displays the polygon created using the following coordinates:
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:
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:
Compare your answer with the correct one above