# A straight line passing through the seridines of opposite sides of a rectangle

December 28, 2020 | education

| **A straight line passing through the seridines of opposite sides of a rectangle divides this rectangle in two. Can one of the resulting rectangles be similar to this one?**

Answer: such rectangles can be similar.

As you know, any rectangle is characterized by the fact that its opposite sides are equal. When dividing the straight line of the original rectangle by 2, each of them will have at least two sides equal to each other in pairs. In addition, it is known that the dividing line passes through the midpoints of two opposite sides, which means that the other two sides of the resulting rectangles will be equal in pairs. That is, we got 2 equal rectangles, and such rectangles are similar to the similarity coefficient of 1.

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