Question

In a polygon of 5 sides, the positions of 2 adjacent sides are changed such that they form a line segment. How many sides will the resulting polygon have?

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is B 4

Let us consider a 5-sided polygon:

If the positions of two adjacent sides, AB and BC, are changed such that they form a line segment, we will get:

We can see that sides AB and BC form the line segment AC and so, B is not a vertex, but a point on side AC. The resulting polygon has the following sides: AC, CD, DE and EA. Therefore, the resulting polygon will have 4 sides.