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

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Question

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

Answer

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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Question

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?

Answer

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.

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Question

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?

Answer

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.

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