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Explain Bot To determine which two ratios form a proportion, we need to check if the two ratios have the same ratio of corresponding terms.
Let's analyze each option:
A) 2 : 1 and 2 : 4
In this option, the ratio of corresponding terms in the first ratio is 2/1, and in the second ratio, it is 2/4. These ratios are not the same, so they do not form a proportion.
B) 1 : 2 and 4 : 2
For the first ratio, the corresponding terms have a ratio of 1/2, and for the second ratio, the corresponding terms have a ratio of 4/2. These ratios are not the same, so they do not form a proportion.
C) 1 : 2 and 6 : 3
The ratio of corresponding terms in the first ratio is 1/2, and in the second ratio, it is 6/3. These ratios are not the same, so they do not form a proportion.
D) 2 : 1 and 6 : 3
Finally, the ratio of corresponding terms in the first ratio is 2/1, and in the second ratio, it is 6/3. These ratios are the same, with both being equal to 2/1. Therefore, option D forms a proportion.
Therefore, the correct answer is D) 2 : 1 and 6 : 3.