The things which are double of the same thing are equal to one another.

• A. True
• B. False
• C. Ambiguous
• D. Data insufficient

The statement "The things which are double of the same thing are equal to one another" is indeed true. So, the correct answer is A. True. Let's break this down to understand why this is the case.

Understanding the Concept of Doubling

When we say something is "double" of another, we are essentially multiplying that thing by two. For example, if we take a number, say 5, doubling it gives us 10. Now, if we take another number that is also double of 5, we would again arrive at 10. This illustrates that doubling the same original number will always yield the same result.

Mathematical Explanation

To put this into a mathematical context, let’s denote the original quantity as x. When we double x, we get:

• Double of x = 2 * x
• Double of x = 2 * x

Since both expressions are equal, we can conclude that:

2 * x = 2 * x

This equality holds true for any value of x. Therefore, if you have two quantities that are both double of the same original quantity, they must be equal to each other.

Real-World Analogy

Think of it like this: imagine you have a recipe that calls for 2 cups of flour. If you decide to double the recipe, you will need 4 cups of flour. If another person also doubles the same recipe, they will also need 4 cups of flour. In both cases, the amount of flour required is the same because both are based on the same original quantity.

Conclusion

In summary, the statement holds true because doubling the same quantity will always yield equal results. This principle applies universally, whether in mathematics, cooking, or any other context where quantities are involved. Thus, the answer is A. True.