How to find a square on a coordinate plane - ISEE Lower Level (grades 5-6) Mathematics Achievement
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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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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.
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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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