Geometry - ISEE Lower Level Quantitative Reasoning
Card 0 of 5385

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 and a base of length
. Find the area of the parallelogram.
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 and a height of
the solution is:
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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 and a base of length
. Find the perimeter of the parallelogram.
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: , 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,
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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 values.
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 and a height of
the solution is:
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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 and diagonal sides with a length of
what is the perimeter of the parallelogram?
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: , where
the length of one diagonal side and
the length of one base.
In this problem, and
.
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 values.
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 . What shape is it?
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 has coordinate points:
,
,
,
. Find the area of 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 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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Rectangle
has coordinate points:
,
,
,
. Find the perimeter of rectangle 
Rectangle has coordinate points:
,
,
,
. Find the perimeter of 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 and our length
.
Plugging these values into the perimeter equation we get:
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Rectangle
has coordinate points:
,
,
,
. Find the perimeter of rectangle
.
Rectangle has coordinate points:
,
,
,
. Find the perimeter of 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 is
and the length is
the solution is:
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Rectangle
has coordinates:
,
,
,
. Find the area of rectangle
.
Rectangle has coordinates:
,
,
,
. Find the area of 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 apply the formula:
Since rectangle has a width of
and a length of
the solution is:
square units
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Rectangle
has coordinates:
,
,
,
. What is the perimeter?
Rectangle has coordinates:
,
,
,
. What is the perimeter?
To find the perimeter of rectangle
, apply the formula: 
Thus, the solution is:



To find the perimeter of rectangle , apply the formula:
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 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
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
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
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