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.
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.
Related Questions
Statement I: A dot made on a sheet of paper with a pencil is the geometrical representation of a point.
Statement II: Conceptually, a point has no dimensions. In other words, it has no length, width or thickness.
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.
Statement I: The front surface of the green board in the classroom is a part of a plane.
Statement II: Conceptually, a plane is a flat surface that extends infinitely in all directions, with no thickness.
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.
Statement I: If r is the radius of a circle and l is the length of any chord then 0 ≤ l ≤ 2r.
Statement II: A chord is formed by joining any two points on a circle.
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.
Statement I: The terms circle and circular region have the same meaning.
Statement II: The interior of a circle together with its boundary is called the circular region.
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.