Coordinate Geometry - ISEE Lower Level (grades 5-6) Mathematics Achievement
Card 0 of 19
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
A shape is plotted on a coordinate plane using the following points: 
, 
, 
, and 
. What shape is it?
A shape is plotted on a coordinate plane using the following points:
If you plot these points on a coordinate plane, the shape has four sides and opposite sides are equal and parallel, but all sides are not equal.
Therefore, it is a rectangle.
If you plot these points on a coordinate plane, the shape has four sides and opposite sides are equal and parallel, but all sides are not equal.
Therefore, it is a rectangle.
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, 1); Point X (2, 6); Point Y (5, 1); Point Z (5, 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, 1); Point X (2, 6); Point Y (5, 1); Point Z (5, 6)
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 created figure has 4 right angles. This can describe a rhombus, square, and rectangle. Because the sides are not all the same length, the figure must be a rectangle.
Start by plotting the vertices and connecting them to form a quadrilateral.
The created figure has 4 right angles. This can describe a rhombus, square, and rectangle. Because the sides are not all the same length, the figure must be a rectangle.
Compare your answer with the correct one above
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.
Compare your answer with the correct one above
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.
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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Which of the following sets of points would form a triangle if plotted on a coordinate plane?
Which of the following sets of points would form a triangle if plotted on a coordinate plane?
A triangle consist of three points. The correct answer is the only set that contains three points.
A triangle consist of three points. The correct answer is the only set that contains three points.
Compare your answer with the correct one above
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point X (7, 0); Point Y (7, 5); Point Z (0, 5)
A polygon is formed with vertices 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 X (7, 0); Point Y (7, 5); Point Z (0, 5)
A polygon is formed with vertices X, Y, and Z. Which type of polygon is formed?
Start by graphing and connecting the vertices.
The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.
Start by graphing and connecting the vertices.
The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.
Compare your answer with the correct one above
A coordinate plane is shown.
Ralph plotted the following points on the coordinate grid:
Point X (8, 8); Point Y (1, 4); Point Z (6, 5)
A polygon is formed with vertices 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 X (8, 8); Point Y (1, 4); Point Z (6, 5)
A polygon is formed with vertices X, Y, and Z. Which type of polygon is formed?
Start by plotting and connecting the ordered pairs.
The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.
Start by plotting and connecting the ordered pairs.
The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.
Compare your answer with the correct one above
In which quadrant is the point 
located in? 
In which quadrant is the point
From the origin 
is to the right 5 and down 6 making it in quadrant IV.
From the origin
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Angela plotted points A through E on the coordinate plane shown below.
What are the coordinates for point B?
Angela plotted points A through E on the coordinate plane shown below.
What are the coordinates for point B?
Begin at point (0, 0) in the bottom left hand corner of the coordinate plane. From there, count the number of spaces you move to the right to line up with Point B. This will be the first number in the ordered pair. Next, count the number of spaces to move up until you reach Point B. This will be the second number in your ordered pair.
You should have counted 2 spaces to the right and 8 spaces up. The ordered pair for Point B is (2, 8).
Begin at point (0, 0) in the bottom left hand corner of the coordinate plane. From there, count the number of spaces you move to the right to line up with Point B. This will be the first number in the ordered pair. Next, count the number of spaces to move up until you reach Point B. This will be the second number in your ordered pair.
You should have counted 2 spaces to the right and 8 spaces up. The ordered pair for Point B is (2, 8).
Compare your answer with the correct one above
Angela plotted points A through E on the coordinate plane shown below.
What are the coordinates for Point A?
Angela plotted points A through E on the coordinate plane shown below.
What are the coordinates for Point A?
Begin at point (0, 0) in the bottom left hand corner of the coordinate plane. From there, count the number of spaces you move to the right to line up with Point A. This will be the first number in the ordered pair. Next, count the number of spaces to move up until you reach Point A. This will be the second number in your ordered pair.
You should have counted 0 spaces to the right and 6 spaces up. The ordered pair for Point B is (0, 6).
Begin at point (0, 0) in the bottom left hand corner of the coordinate plane. From there, count the number of spaces you move to the right to line up with Point A. This will be the first number in the ordered pair. Next, count the number of spaces to move up until you reach Point A. This will be the second number in your ordered pair.
You should have counted 0 spaces to the right and 6 spaces up. The ordered pair for Point B is (0, 6).
Compare your answer with the correct one above
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.
Compare your answer with the correct one above
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.
Compare your answer with the correct one above