How to find a parallelogram on a coordinate plane - ISEE Lower Level Quantitative Reasoning
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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
Compare your answer with the correct one above
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,
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point W (2, 4); Point X (3, 6); Point Y (5, 4); Point Z (6, 6)
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 (2, 4); Point X (3, 6); Point Y (5, 4); Point Z (6, 6)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
Begin by plotting the points and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both squares and parallelograms. Because the figure does not contain right angles and the sides are not all the same length, it must be a parallelogram.
Begin by plotting the points and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both squares and parallelograms. Because the figure does not contain right angles and the sides are not all the same length, it must be a parallelogram.
Compare your answer with the correct one above
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point W (1, 1); Point X (7, 3); Point Y (1, 6); Point Z (7, 8)
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 (1, 1); Point X (7, 3); Point Y (1, 6); Point Z (7, 8)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
Begin by plotting and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both rhombuses and parallelograms. Because the sides are not all the same length, it must be a parallelogram.
Begin by plotting and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both rhombuses and parallelograms. Because the sides are not all the same length, it must be a parallelogram.
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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,
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point W (2, 4); Point X (3, 6); Point Y (5, 4); Point Z (6, 6)
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 (2, 4); Point X (3, 6); Point Y (5, 4); Point Z (6, 6)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
Begin by plotting the points and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both squares and parallelograms. Because the figure does not contain right angles and the sides are not all the same length, it must be a parallelogram.
Begin by plotting the points and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both squares and parallelograms. Because the figure does not contain right angles and the sides are not all the same length, it must be a parallelogram.
Compare your answer with the correct one above
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point W (1, 1); Point X (7, 3); Point Y (1, 6); Point Z (7, 8)
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 (1, 1); Point X (7, 3); Point Y (1, 6); Point Z (7, 8)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
Begin by plotting and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both rhombuses and parallelograms. Because the sides are not all the same length, it must be a parallelogram.
Begin by plotting and connecting the vertices.
The quadrilateral that is created has two sets of parallel sides. Out of the possible answer choices, this can describe both rhombuses and parallelograms. Because the sides are not all the same length, it must be a parallelogram.
Compare your answer with the correct one above
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
Compare your answer with the correct one above
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,
Compare your answer with the correct one above
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:
Compare your answer with the correct one above
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
Compare your answer with the correct one above