ISEE Lower Level Math : How to find a rectangle on a coordinate plane

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

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Example Questions

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

A coordinate plane is shown.

Blank_grid

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? 

Possible Answers:

Square

Rhombus

Trapezoid

Rectangle

Correct answer:

Rectangle

Explanation:

Start by plotting the vertices and connecting them to form a quadrilateral.

Screenshot_2015-03-24_at_5.19.00_pm

 

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.

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

A coordinate plane is shown.

Blank_grid

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? 

Possible Answers:

Rectangle

Trapezoid

Kite

Triangle

Correct answer:

Rectangle

Explanation:

Start by plotting the vertices and connecting them to form a quadrilateral.

Screenshot_2015-03-24_at_5.25.52_pm

 

The figure that is created has four right angles. Out of the given answer choices, this can only describe a rectangle.

Example Question #3 : Coordinate Geometry

A shape is plotted on a coordinate plane using the following points: , , , and . What shape is it?

Possible Answers:

Triangle 

There is not enough information to determine the shape.

Trapezoid

Rectangle

Square

Correct answer:

Rectangle

Explanation:

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.

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