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

Answer: Second and fourth pairs of rectangle are similar.
Explanation: Since, If two Shapes are similar then the ratios of their corresponding sides are equal.
In First figure ratios of corresponding sides are not equal.
Because, [tex]\frac{100}{10}[/tex]≠ [tex]\frac{10}{7}[/tex]
Therefore, they are not similar.
In second figure ratios of corresponding sides are equal.
Because, [tex]\frac{50}{10}[/tex]= [tex]\frac{30}{6}=5[/tex]
Therefore, they are similar.
In third figure ratios of corresponding sides are not equal.
Because, [tex]\frac{5.2}{2.6}[/tex]≠ [tex]\frac{3.8}{1.2}[/tex]
Therefore, they are not similar.
In fourth figure ratios of corresponding sides are equal.
Because, [tex]\frac{7.5}{2.5}[/tex]=[tex]\frac{4.5}{1.5}=3[/tex]
Therefore, they are similar.