Question

Which pairs of polygons are similar?

Select each correct answer.

Answer 1

Answer: The first and fourth pair of polygons are similar.

Explanation:

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

Let's check

• In the first pair there are two rectangles and their dimensions are proportional as

`(22)/(13.75)=(16)/(10)=1.6`

• In the second pair there are right triangles but their dimensions are not proportional as

`(18)/(8)=2.25` and
`(30)/(17)=1.76`

• In the third pair there is one isosceles triangle and other is equilateral triangle, which can not be similar as they have different type of triangles.

• In the fourth pair there are two right trapezoid and their dimensions are proportional as

`(7.5)/(3)=(30)/(12)=(12.5)/(5)=(20)/(8)=2.5`