i) Please read carefully and answer the questions. Eric explains that all circles are similar using the argument shown. 1. Let there be two circles, circle A and circle B. 2. There exists a translation that can be performed on circle A such that it will have the same center as circle B 3. 4. Thus, there exists a sequence of transformations that can be performed on circle A in order to obtain circle B. 5. Therefore, circle A is similar to circle B. 6. Since circle A and circle B can be any circles, all circles are similar.

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.