145 Similarity CA327 similarity Class Activity 14N Mathemati

14.5 Similarity CA-327 similarity Class Activity 14N Mathematical similarity versus Similarity in Everyday Language In mathematics, the terms similar and similarity have a much more specific meaning than they do in everyday language. Examine the shapes below. In everyday language, we might say that all the shapes are similar. But math- ematically, only the top two shapes on the right are similar to the original shape. How is the relationship of those two shapes to the original shape different from the relationship of the other two shapes to the original shape? Shapes that are Original mathematically shape similar to the original shape Shapes that are not milar to the original shape Claes A A First Look at Solving Scaling probl

Solution

if two figures are mathematically similar to each other all the dimensions of the two figures have same ratio

In the given problem all the 5 figures look alike but the top two figures have their all dimensions in a fixed ratio when compared to the original figure.

If we consider the two figures in the bottom one has a larger width while the other has a larger length .

In other words scaling only took place to some of the dimensions but not to all dimensions.

So, the last two images are not mathematically similar to original figure.