Similarity and Translations

The first thing you will need to do is identify if the figure is similar. The word similar means if the second figure can be obtained from first by a sequence of transformations and dilations.

The way to do that is to determine if the two figures are similar by using transformations.

This is done by translating (moving a figure by a set of numbers) the smaller figure so that it fits into the big figure. So, angle E would fit into angle A and then you would write ratios comparing the lengths of each side. This is just an example due to the fact that I don't have a coordinate grid.Ex: DA/HE =10/6 ,DC/HG=10/6 , CB/GF=10/6 , AB/EF=10/6. Since all of the ratios are equal the two figures are similar. If the ratios weren't equal then the two would not be similar.

If this photo was 8 inches by 4 inches and enlarged by a scale factor (The ratio of the lengths of two corresponding sides of two similar polygons.) of two for it to fit in your picture frame. The new picture would be 16 inches by 8 inches since it was enlarged by a scale factor of two. So in the end, the two photos would be similar since the enlargement was  the result of a dilation.

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