ISEE Lower Level Quantitative : How to find a square on a coordinate plane

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #1 : How To Find A Square On A Coordinate Plane

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Square ABCD has coordinate points: . Find the area of square .

Possible Answers:

 square units

 square units

 square units

 square units

Correct answer:

 square units

Explanation:

To find the area of square  apply the formula: , where  is the length of one side of the square. 

Thus, the solution is:


Example Question #2 : How To Find A Square On A Coordinate Plane

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Square  has coordinate points: . Find the perimeter of square .

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of square  apply the formula: , where  the length of one side of the square. 

The solution is:

Example Question #53 : Geometry

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Square  has coordinate points:. What is the perimeter of square ?

Possible Answers:

Correct answer:

Explanation:

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: 



Example Question #4 : How To Find A Square On A Coordinate Plane

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Square  has coordinate points: . Find the perimeter of square.

Possible Answers:

Correct answer:

Explanation:

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:

Example Question #5 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: . Find the area of square 

Possible Answers:

 square units

 square units

 square units

 square units

Correct answer:

 square units

Explanation:

The area of square  can be found by multiplying the width and length of the rectangle. 

The solution is:
width , length

 or 

Example Question #1 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: ,. Find the area of square .

Possible Answers:

 square units

 square units

 square units

 square units

Correct answer:

 square units

Explanation:

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:


Example Question #2 : How To Find A Square On A Coordinate Plane

Square  has coordinate points: ,. Find the perimeter of square .

Possible Answers:

Correct answer:

Explanation:

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, 

Example Question #3 : How To Find A Square On A Coordinate Plane

The points with coordinates  are the vertices of which kind of quadrilateral?

Possible Answers:

Parallelogram

Square

Trapezoid

Kite

Correct answer:

Square

Explanation:

1

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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