Answer: Polygons A and B are Similar.
Polygons A and C are Not Similar.
Polygons B and C are Not Similar.
Step-by-step explanation: 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.
150/108 = 50/36
100/72 = 50/ 36.
We can see 150/108 = 100/72 = 50/ 36.
Sides are in proportion of Polygons A and B.
So, the Polygons A and B are Similar.
Let us check first A and C figures.
150/132 = 25/22
100/80 = 5/4.
We can see 150/132 ≠ 100/80.
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.
108/132 = 9/11.
72/80 = 9/10.
We can see 108/132 ≠ 72/80.
Sides are not in proportion of Polygons B and C.
So, the Polygons B and C are Not Similar.
