Which pairs of polygons are similar? Select each correct answer. 

Solution:

We will use the definition of similar figures to determine the correct option.

Similar polygons appear the same in shape but to check the similarity of a pair polygon, we will use a property of similarity.

If two polygons are similar, then their corresponding sides are proportional.

In option a), the ratio of length is 9 : 5 and the ratio of breadth is 12 : 7. Since both ratios are not equal, these polygons are not similar.

In option b), the equilateral triangles are similar to each other as the ratio of the corresponding sides is 8 : 5.

In option c), observe that the corresponding sides of both right-angled triangles are in ratio 4 : 3

So, options b) and c) are the pairs of polygons that are similar.

Which pairs of polygons are similar? Select each correct answer. 

Summary:

Options b) and c) are the pairs of polygons that are similar.