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There space two problems (tests) for 2 and every the matching sides have to be proportional. |

therefore the an interpretation is: 2 polygons are similar iff they are equiangular and also their equivalent sides space proportional. Let"s look in ~ the importance of solve both problems for polygons. | |

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**Do they have the exact same shape?** open the comparable Quadrilaterals applet:

In the applet, the political parties of the smaller sized quadrilaterals room parallel to the political parties of the bigger quadrilaterals, so the quadrilaterals are equiangular in both cases. Connect with the applet and also explain *why*:

*never*proportional, for this reason they are nearly never similar, i.e. They execute not have actually the exact same

*shape*(find at least one instance for which they room similar). The political parties of PQ¢R¢S¢ and also PQRS are

*always*proportional, so they are always similar, i.e. They have the very same

*shape*.

**Two counter examples** open up the comparable or not? applet:

The applet shows two basic examples to show conclusively the for polygon to be similar, they have to be** both** equiangular and proportional.