Question

Which of the following is an example of a theorem? A. the areas of two congruent figures are equal. B. the area of a square is the square of the length of its side. C. the area of a rectangle is the product of its base and height. D. the area of a rectangle is the sum of all its non-overlapping parts

Answer 1

Theorem is a statement that can be proved or that is proven to be true.

Option A is a theorem because it is proven that the area of two congruent figures are equal.

Option B is a theorem because the area of a square is the square of the length of its side.

`\begin{gathered} A_(square)=l* l \\ A_(square)=l^2 \end{gathered}`

Option C is a theorem because the area of a rectangle is the product of its base and height.

`\begin{gathered} A_(rec\tan gle)=b* h \\ A_(rec\tan gle)=bh \end{gathered}`

Thus, A, B and C are CORRECT