Question

Which pairs of rectangles are similar polygons?

Answer 1

Answer: Polygons A and B are not Similar.

Polygons A and C are Not Similar.

Only Polygons B and C are Similar.

Step-by-step explanation:Answer:

We are given three rectangular figures A, B and C.

We need to determine which polygons are similar and which are not.

Note: The sides of similar figures are in proportion.

Let us check first A and B figures.

105/120 = 7/8

80/90 = 8/9.

We can see 105/120 ≠ 80/90

Sides are not in proportion of Polygons A and B.

So, the Polygons A and B are not Similar.

Let us check first A and C figures.

105/100 = 21/20

80/75 = 16/15.

We can see 105/100 ≠ 80/75

Sides are not in proportion of Polygons A and C.

So, the Polygons A and C are Not Similar.

Let us check first B and C figures.

120/100 = 6/5.

90/75 = 6/5.

We can see 120/100 = 90/75 = 6/5

Sides are in proportion of Polygons B and c.

So, the Polygons B and C are Similar.

Answer 2

the longer side / the shorter side must be the same for rectangles to be similar.

For  A:  105 / 80  =  1.32

For  B:  120 / 90  =  1.33

For  C:  100 / 75  =  1.47

 

So... only  A  and  B are similar.