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Answer:
{A, E, H, J}, {B, C}, {D, F, G}
Step-by-step explanation:
The length:width ratios of the various rectangles are ...
- A — 9 : 6 = 3 : 2
- B — 3 : 1
- C — 6 : 2 = 3 : 1
- D — 3 : 3 = 1 : 1
- E — 6 : 4 = 3 : 2
- F — 1 : 1
- G — 6 : 6 = 1 : 1
- H — 3 : 2
- J — 6 : 4 = 3 : 2
The rectangles with 1 : 1 side ratios are D, F, G.
The rectangles with 3 : 1 side ratios are B, C.
The rectangles with 3 : 2 side ratios are A, E, H, J.
The rectangles in each of the following sets are proportional to one another:
{A, E, H, J}, {B, C}, {D, F, G}
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YMMV if you consider 3:2 different from 2:3.
