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Figures are mathematically similar when corresponding side lengths are related by a scale factor, and all corresponding angles are congruent. For triangles, it only matters if the corresponding angles are congruent. For rectangles, it only matters if the corresponding side lengths are related by a scale factor. All mathematically similar figures have the exact same shape. Some are bigger, and some are smaller.

Any two rectangles are similar: False.

A 3×5 rectangle is not similar to a 3×3 rectangle. Their side lengths are not related by a scale factor. You can do it by ratio too. If you set it up like a proportion, you have three over five and three over three. Three times five equals fifteen. Three times three equals nine. Fifteen and nine aren’t the same number.

Any two equilateral triangles are similar: True

All equilateral triangles have three sixty degree angles. Triangles are similar if their corresponding angles are congruent. If all angles are 60, then they’re automatically similar.

Good                                                         Bad

I think that the good one is good because it is neat and has a few examples to show what I am explaining. I think that the bad one is bad because it is messy and not very clear what I am saying. Plus there are no examples. I have noticed that I have not had any very messy pages seance the beginning of the year.

This assignment was all about finding similar figures. To solve this sheet you mainly just had to find a scale factor and is two shapes had the same scale factor then they were similar. I didn’t find this to be a very difficult sheet but I think it would be much easier now that I understand scale factors better.