A corollary is a statement that can be easily proved using a theorem. State true/false.
We will use the concepts of mathematical induction and definition in order to state true or false.
Answer: It is true that a corollary is a statement that can be easily proved using a theorem.
Let us see how we will use the concepts of mathematical induction in order to prove the statement as true or false.
Explanation:
The definition of corollary states that a corollary is a statement that is derived from other statements that have been either proved true or accepted as true.
For example, Statement A says that if two angles that come together to form a straight line are supplementary in nature.
Corollary A: When two lines intersect the angles opposite to each other they are equal.
The corollary A above can be easily proved using the statement A.
Hence, it is true that a corollary is a statement that can easily be proved using a theorem.
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