Question

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

Answer 1

What was the answer please help me

Answer 2

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

$\frac{22}{13.75}=\frac{16}{10}=1.6$

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

$\frac{18}{8}=2.25$ and $\frac{30}{17}=1.76$

• 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

$\frac{7.5}{3}=\frac{30}{12}=\frac{12.5}{5}=\frac{20}{8}=2.5$