ISEE Lower Level Math : How to find a rectangle on a coordinate plane
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Example Questions
Example Question #1 : Coordinate Geometry
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?
Rectangle
Trapezoid
Square
Rhombus
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.
Example Question #2 : Coordinate Geometry
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?
Triangle
Kite
Trapezoid
Rectangle
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.
Example Question #1 : Coordinate Geometry
A shape is plotted on a coordinate plane using the following points: 
Trapezoid
Square
Rectangle
Triangle
There is not enough information to determine the shape.
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.
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