Question

Which pairs of rectangles are similar polygons?

Select each correct answer.

Answer 1

The corrects answers are B and D for this one. 

Since you divide the same side for both the the rectangles on both parts and if the division statements are equaled, then they are similar. 

For example; 

Answer B. 
50 / 10 = 5 
and 
30 / 6 = 5 

Answer D. 
7.5 / 2.5 = 3
and 
4.5 / 1.5 = 3 

Since they both equal the same for both of the rectangles for the answers individually, they are similar polygon rectangles. 

Hope this helps! 

~ ShadowXReaper069

Answer 2

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, $\frac{100}{10}$≠ $\frac{10}{7}$

Therefore, they are not similar.

In second figure ratios of corresponding sides are equal.

Because, $\frac{50}{10}$= $\frac{30}{6}=5$

Therefore, they are similar.

In third figure ratios of corresponding sides are not equal.

Because, $\frac{5.2}{2.6}$≠ $\frac{3.8}{1.2}$

Therefore, they are not similar.

In fourth figure ratios of corresponding sides are equal.

Because, $\frac{7.5}{2.5}$=$\frac{4.5}{1.5}=3$

Therefore, they are similar.