Answer: The first and fourth pair of polygons are similar.
Step-by-step 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
[tex]\frac{22}{13.75}=\frac{16}{10}=1.6[/tex]
- In the second pair there are right triangles but their dimensions are not proportional as
[tex]\frac{18}{8}=2.25[/tex] and [tex]\frac{30}{17}=1.76[/tex]
- 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
[tex]\frac{7.5}{3}=\frac{30}{12}=\frac{12.5}{5}=\frac{20}{8}=2.5[/tex]
