Mathematics
Statement I: The diagonal of a polygon is the line segment joining two non-adjacent vertices.
Statement II: The polygon with the minimum number of sides is a triangle.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Geometrical Concepts
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Answer
Both Statement I and Statement II are true.
Explanation
In a polygon, the line segments formed by joining two non-adjacent vertices (vertices which are not the end points of the same side) are called diagonals of the polygon. So, Statement I is true.
A polygon is a simple closed curve made up entirely of line segments. To enclose a region, we need at least three line segments, so the polygon with the least number of sides has three sides — which is a triangle. A polygon with two sides is not possible. So, Statement II is also true.
Hence, option 3 is the correct option.
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