How to find a square on a coordinate plane - ISEE Lower Level Quantitative Reasoning
Card 0 of 70
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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Square 
has coordinate points: 
, 
, 
, 
. Find the area of square 
.
Square
The area of square 
can be found by multiplying the width and length of the rectangle.
The solution is:
width 
, length
or 
The area of square
The solution is:
width
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Square 
has coordinate points: 
, 
,
, 
. Find the area of square 
.
Square
The fomula used to find the area of a square is 
To find the side length of our square look at the distance between the x or y values two of our coordinate points.
thus the length of a side is 5 units.
Thus, the correct answer is:
The fomula used to find the area of a square is
To find the side length of our square look at the distance between the x or y values two of our coordinate points.
Thus, the correct answer is:
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Square 
has coordinate points: 
, 
,
, 
. Find the perimeter of square 
.
Square
The perimeter of square 
can be found by applying the formula:
, where 
the length of one side of the square.
To find the length of the square look at the coordinates:
Thus,
The perimeter of square
To find the length of the square look at the coordinates:
Thus,
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Square ABCD has coordinate points: 
, 
, 
, 
. Find the area of square 
.
Square ABCD has coordinate points:
To find the area of square 
apply the formula: 
, where 
is the length of one side of the square.
Thus, the solution is:
To find the area of square
Thus, the solution is:
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Square 
has coordinate points: , , , . Find the perimeter of square 
.
Square
In order to find the perimeter of square 
apply the formula: 
, where 
the length of one side of the square.
The solution is:
In order to find the perimeter of square
The solution is:
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Square 
has coordinate points:
, 
, 
, 
. What is the perimeter of square 
?
Square
In order to find the perimeter of square 
apply the formula: 
, where 
equals the length of one side of the square.
Since, 
the solution is:
In order to find the perimeter of square
Since,
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Square 
has coordinate points: 
. Find the perimeter of square
.
Square
In order to find the perimeter of square 
apply the formula:
, where 
is the length of one side of the square.
Since, 
the solution is:
In order to find the perimeter of square
Since,
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The points with coordinates 
are the vertices of which kind of quadrilateral?
The points with coordinates
If the points are plotted on to a graph, you should notice that the points form a square with side lengths of 
.
If the points are plotted on to a graph, you should notice that the points form a square with side lengths of
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A square is plotted on a coordinate plane. It includes the following points: 
What is the remaining point?
A square is plotted on a coordinate plane. It includes the following points:
Each of the points is written as an ordered pair. The first number in each ordered pair shows where the point is located on the x-axis. The second number in each ordered pair shows where the point is located on the y-axis. If you plot the ordered pairs listed in the problem, the ordered pair that is needed to complete the points of a square is 
.
Each of the points is written as an ordered pair. The first number in each ordered pair shows where the point is located on the x-axis. The second number in each ordered pair shows where the point is located on the y-axis. If you plot the ordered pairs listed in the problem, the ordered pair that is needed to complete the points of a square is
Compare your answer with the correct one above
A square is plotted on a coordinate plane. It includes the following points: 
. What is the remaining point?
A square is plotted on a coordinate plane. It includes the following points:
Each of the points is written as an ordered pair. The first number in each ordered pair shows where the point is located on the x-axis. The second number in each ordered pair shows where the point is located on the y-axis. If you plot the ordered pairs listed in the problem, the ordered pair that is needed to complete the points of a square is 
.
Each of the points is written as an ordered pair. The first number in each ordered pair shows where the point is located on the x-axis. The second number in each ordered pair shows where the point is located on the y-axis. If you plot the ordered pairs listed in the problem, the ordered pair that is needed to complete the points of a square 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 (3, 3); Point X (3, 8); Point Y (8, 3); Point Z (8, 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 (3, 3); Point X (3, 8); Point Y (8, 3); Point Z (8, 8)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
Start by plotting and connecting the vertices to create a quadrilateral.
The figure that is created has 4 right angles and sides of equal length. The only answer choice that shares these characteristics is the square.
Start by plotting and connecting the vertices to create a quadrilateral.
The figure that is created has 4 right angles and sides of equal length. The only answer choice that shares these characteristics is the square.
Compare your answer with the correct one above
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point W (5, 5); Point X (0, 5); Point Y (0, 0); Point Z (5, 0)
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 (5, 5); Point X (0, 5); Point Y (0, 0); Point Z (5, 0)
A polygon is formed with vertices W, X, Y, and Z. Which type of polygon is formed?
Start by plotting and connecting the vertices to create a quadrilateral.
The figure that is created has 4 right angles and sides of equal length. The only answer choice that shares these characteristics is the square.
Start by plotting and connecting the vertices to create a quadrilateral.
The figure that is created has 4 right angles and sides of equal length. The only answer choice that shares these characteristics is the square.
Compare your answer with the correct one above
Renee plotted the following points in quadrant one on the coordinate grid:
Point A = (2,2)
Point B = (7,2)
Point C= (7,7)
Where in Quadrant one of the coordinate grid would Renee have to plot Point D so that the points form a square with vertices A, B, C, and D, and forms sides AB, BC, CD, and DA?
Renee plotted the following points in quadrant one on the coordinate grid:
Point A = (2,2)
Point B = (7,2)
Point C= (7,7)
Where in Quadrant one of the coordinate grid would Renee have to plot Point D so that the points form a square with vertices A, B, C, and D, and forms sides AB, BC, CD, and DA?
Once Points A,B, and C have been plotted the missing coordinates in order to form a square (all sides being equal), Point D would be (2,7). All coordinates (x,y) in Quadrant one will be positive integers.
Another approach is to calculate the distance between each point.
When Point A and Point B are plotted they form a horizontal line that goes from 2 to 7. That makes the distance 
.
When Point B and Point C are plotted they form a vertical line that goes from 2 to 7. That makes the distance 
.
Point C creates a vertical line with Point B. That makes the distance 
.
From here, we want to find a point that is horizontally 5 units from Point C and vertically 5 units from Point A. Thus (2,7) is the correct answer.
Once Points A,B, and C have been plotted the missing coordinates in order to form a square (all sides being equal), Point D would be (2,7). All coordinates (x,y) in Quadrant one will be positive integers.
Another approach is to calculate the distance between each point.
When Point A and Point B are plotted they form a horizontal line that goes from 2 to 7. That makes the distance
When Point B and Point C are plotted they form a vertical line that goes from 2 to 7. That makes the distance
Point C creates a vertical line with Point B. That makes the distance
From here, we want to find a point that is horizontally 5 units from Point C and vertically 5 units from Point A. Thus (2,7) is the correct answer.
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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.
Compare your answer with the correct one above
Square has coordinate points: , , , . Find the area of square .
Square
The area of square can be found by multiplying the width and length of the rectangle.
The solution is:
width , length
or
The area of square
The solution is:
width
Compare your answer with the correct one above
Square has coordinate points: , ,, . Find the area of square .
Square
The fomula used to find the area of a square is
To find the side length of our square look at the distance between the x or y values two of our coordinate points.
thus the length of a side is 5 units.
Thus, the correct answer is:
The fomula used to find the area of a square is
To find the side length of our square look at the distance between the x or y values two of our coordinate points.
Thus, the correct answer is:
Compare your answer with the correct one above
Square has coordinate points: , ,, . Find the perimeter of square .
Square
The perimeter of square can be found by applying the formula:
, where the length of one side of the square.
To find the length of the square look at the coordinates:
Thus,
The perimeter of square
To find the length of the square look at the coordinates:
Thus,
Compare your answer with the correct one above
Square ABCD has coordinate points: , , , . Find the area of square .
Square ABCD has coordinate points:
To find the area of square apply the formula: , where is the length of one side of the square.
Thus, the solution is:
To find the area of square
Thus, the solution is:
Compare your answer with the correct one above
Square has coordinate points: , , , . Find the perimeter of square .
Square
In order to find the perimeter of square apply the formula: , where the length of one side of the square.
The solution is:
In order to find the perimeter of square
The solution is:
Compare your answer with the correct one above