Final answer:
To determine if a proportion is true or false, compare the ratios on both sides. Simplify the ratios and check for equality. If the simplified ratios are not equal, the proportion is false.
Step-by-step explanation:
To determine if a proportion is true or false, we need to compare the ratios on both sides. In this case, the proportion is 10:20 :: 87:2. Let's simplify the ratios to make it easier to compare. 10:20 can be simplified to 1:2 and 87:2 cannot be simplified any further.
Now we can see that the simplified ratios are not equal, so the proportion is false. Therefore, the correct answer is B. False, True.