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

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

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Example Questions

Example Question #15 : Coordinate Geometry

A coordinate plane is shown.

Blank_grid

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? 

Possible Answers:

Parallelogram

Trapezoid

Kite

Pentagon

Square

Correct answer:

Parallelogram

Explanation:

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.

Example Question #16 : Coordinate Geometry

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? 

Possible Answers:

Parallelogram

Rhombus

Hexagon

Triangle

Trapezoid

Correct answer:

Parallelogram

Explanation:

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.

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