Question

Which pairs of rectangles are similar polygons?

Select each correct answer.

Answer 1

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,
`(100)/(10)`≠
`(10)/(7)`

Therefore, they are not similar.

In second figure ratios of corresponding sides are equal.

Because,
`(50)/(10)`=
`(30)/(6)=5`

Therefore, they are similar.

In third figure ratios of corresponding sides are not equal.

Because,
`(5.2)/(2.6)`≠
`(3.8)/(1.2)`

Therefore, they are not similar.

In fourth figure ratios of corresponding sides are equal.

Because,
`(7.5)/(2.5)`=
`(4.5)/(1.5)=3`

Therefore, they are similar.

Answer 2

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