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.

$\begin{gathered} A_{square}=l\times l \\ A_{square}=l^2 \end{gathered}$

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

$\begin{gathered} A_{rec\tan gle}=b\times h \\ A_{rec\tan gle}=bh \end{gathered}$

Thus, A, B and C are CORRECT