A polygon has 8 sides: five of length 1, two of length 2, and one of length 3. All sides lie on grid lines. (It may be helpful to use graph paper when working on this problem.) Find a polygon with these properties. Is there a second polygon, not congruent to your first, with these properties?

Question

15-09-2021
Mathematics

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A polygon has 8 sides: five of length 1, two of length 2, and one of length 3. All sides lie on grid lines. (It may be helpful to use graph paper when working on this problem.) Find a polygon with these properties. Is there a second polygon, not congruent to your first, with these properties?

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oeerivona oeerivona · Answer 1 · 2021-09-21T06:53:18+02:00

A polygon is a closed two dimensional shape that is made by connection of a finite number of straight lines

Please find the polygon having 8 sides and a second polygon having the same properties attached

The procedure used for drawing the above polygons are as follows:

The required polygon with coordinates obtained from GeoGebra and plotted with desktop application

The original polygon was constructed using the polygon tool, with the lengths of the sides adjusted to obtain the needed lengths of five of the sides having a of length 1, two of the sides having a length of 2, and one of the sides having a length 3

Second Question

Yes, it is possible to obtain a second polygon having the same dimensional properties, but not congruent to the polygon above, using the same procedure but relocating the some of the sides

Learn more about polygons here:

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