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

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Question

A coordinate plane is shown.

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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?

Answer

Begin by plotting the points and connecting the vertices.

Screenshot_2015-03-24_at_4.55.16_pm

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.

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Question

A coordinate plane is shown.

Blank_grid

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?

Answer

Begin by plotting and connecting the vertices.

Screenshot_2015-03-24_at_5.02.50_pm

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

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